Chronological (more or less) by Bill's participation as host:  

Entire series run:          
    June 3, 1946 to February 1, 1952 (Various times)   
Bill's episodes as host:       
    September 9, 1946 to at least July 24, 1950       

Contrary to several sources, Bill was not the first host of this series.  It was, however, the first series he hosted.  Ward Wilson was the original host, and Bill was the show's announcer.  When Wilson had to step down a few months into the show's run, Bill was made a temporary master of ceremonies.  He did so well the job was made permanent, and he was on his way to a career of hosting games.  He later relinquished hosting duties for this program to Bud Collyer.  At least three episodes survive, all hosted by Bill.  Bill would later host the television version of Winner Take All.

May 9 to June 13, 1948 on CBS         
    Sundays at 9pm        

On Catch Me If You Can, a "climber" answered questions to move up rungs of a ladder.  A second contestant, the "challenger", could eliminate the climber by challenging his answer and providing the correct one.  The challenger then became the climber, and a new challenger was introduced.  Any player who reached the top rung of the ladder reached the Golden Door and the opportunity to unravel a mystery sentence for a merchandise jackpot.

When Chrysler's DeSoto became sponsor of the show, the title, time slot and rules were all changed, making Bill just about the only constant (see Hit the Jackpot).

Jack Lemmon appeared as the celebrity guest on a 1955 episode of I've Got A Secret. He revealed that back in 1948, as a struggling actor, he had been a contestant on a radio game show hosted by Bill.  Although the name of the show isn't mentioned, Lemmon's description of his experiences would seem to indicate that he appeared on the short-lived series Catch Me If You Can.

Read a May 31, 1948 review of Catch Me If You Can in Variety.
June 29, 1948 to December 27, 1949   
    Tuesdays at 9:30pm [later moved to 10pm]   
Also May 28 to September 3, 1950         
    Sundays at 7:30pm, summer replacement for Amos 'n' Andy  

This show was originally known as Catch Me If You Can, and had different rules.  When Chrysler's DeSoto became sponsor of the show, they changed the title to Hit the Jackpot and changed the format.  Listeners who submitted postcards were contacted at random and given a chance to guess a mystery phrase to win a valuable jackpot of prizes.  Prizes included trips, furniture and a new DeSoto, and could be worth as much as $25,000, a huge payoff for early radio.  Mark Goodson and Bill Todman produced the series.

In the picture for Hit the Jackpot, Bill is third from the right (in a bow tie).  Mark Goodson is second from right.  We believe Bill Todman is second from left, and we don't know for sure who the others are. 

Read a May 31, 1950 review of Hit The Jackpot from Variety.
January 5 to May 4, 1949
     Wednesdays at 10pm
May 9 to September 9, 1949
     Daily at 4:05pm (Preceded by five-minute newscast)
Despite the title, and despite the fact that this was a Goodson-Todman production, this quizzer had almost nothing to do with the TV stunt show of the same name.  (Seriously, what kind of radio show would THAT have made anyway?)  On this, contestants had to answer multi-part questions quickly, before the loudly ticking clock wound down.  Despite an eight-month run, few reference books or magazine articles about Bill mention the series.  Only one episode (from August 23, 1949) is known to exist.

The format of Bill's 1949 show appears to be very similar to a 1948 Goodson-Todman radio show called Time's A Wastin'.  Bud Collyer, who would go on to host the TV version of Beat the Clock, hosted this earlier series which also featured contestants answering questions in a race against the clock.  It ran from ran from October 6 to December 29, which means Bill's new show was effectively its replacement.  A new host and a new title, but more or less the same game.  Thanks to researcher Leah Biel for locking down some of the dates for this obscurity.

Original episodes:         
    July 16, 1944 to December 17, 1949         
        Sundays (later Saturdays) on Mutual         
Bill's episodes:         
    December 12, 1949 to June 29, 1951 on ABC (Weekdays at 11:30)        

This complicated early game show had a long, healthy run.  Six contestants selected from the studio audience competed.  The game was played in six rounds, dubbed "races" and given names associated with popular racecourses (i.e. "The Belmont")  Contestants heard clues to a topic and pressed their buzzers to stop the clues and attempt to answer. (The flashing lights also associated with the buzzers were lost on the radio audience.)  A wrong answer eliminated a player from that "race" and the clues continued for the remaining players.  Clues were sometimes simply read by the host (originally Ken Roberts, replaced in 1947 by Win Elliot).  Sometimes, though, Ray Bloch's orchestra performed musical clues, and once in each show (during the fifth "race") a fully dramatized short mystery play provided the clues.  These plays featured stars of popular detective series, performing as their well known characters.

The tiny newsmagazine Quick published a weekly news quiz called Quick as a Flash.  It's unknown how much the two had in common, though the magazine quiz page did mention the date and time of the radio show.  Even in the era of big money radio jackpots running into the tens of thousands of dollars, Quick as a Flash was always played for meager prizes, relying on the musical and dramatic entertainment for its popularity.

In a 1980 interview with People Magazine, CNN legend Larry King says that as a youth, he was a contestant on Quick as a Flash.

Parts of two Quick As A Flash episodes survive today.  One is a ten minute excerpt from a 1948 game hosted by Ken Roberts.  The other is the first fifteen minutes of one of Bill's episodes from May 23, 1951.  Both feature Bret Morrison as The Shadow.

Bill also hosted the 1953 pilot for the streamlined television version of this series, but did not host the brief series that followed.  His pilot episode survives today (with guest stars Boris Karloff and Wendy Barrie) but the series itself appears to be lost.

CBS 1947-50, NBC 1950-57     
Bill's episodes probably c1951     

Strike It Rich was a long-running success on radio and television.  Described as a charity show masked as a quiz, it featured downtrodden contestants answering a series of questions for a cash payoff, or for a much needed prize.  Even if the players failed, donations were called in on the "heartline", making sure no one went home broke.

Warren Hull is the host most closely associated with both the radio and television versions. He took over the radio show in 1948, and is the only regular host reference books list from that point on.  Still, a July 4, 1951 Variety article names this program as one of Bill's credits at the time.  Our best guess is that Bill filled in for a while around the time Hull was preparing to take the show to television (the TV debut was May, 1951).  Hull used many guest hosts on the TV version (maybe even Bill?) so turning over the radio reins wouldn't have been out of character.

FUN FOR ALL            
CBS,  September 27, 1952 - December 26, 1953,  Saturdays 1pm       
(From March 6 to May 29, the program was ALSO heard on ABC Friday nights at 8:30pm.)  

Bill and Arlene Francis were co-hosts for this game show with variety elements.  Phil Chavin, a fan in Sweden who gave us the dates above, is very eager to hear from anyone with more details about the show (as are we, of course).  He's trying to confirm a memory he has that Bill and Arlene sang Anything You Can Do (I Can Do Better) on every broadcast, possibly as an opening number or perhaps introducing some battle-of-the-sexes competition. That would be interesting, since Bill rarely did any singing, even when hosting music games.  Sponsors included Toni, Prom and White Rain (all products of Gillette).

Read a very negative 1953 review of Fun for All in Variety.

Bill worked together with Arlene Francis often in the early fifties, but rarely for very long. Fun For All, It Happens Every Day and the television series Who's There? all had brief runs.  Fellow researcher and fan Kenneth Johannessen points out that both Bill and Arlene were represented in those early years by agent Martin Goodman.
WALK A MILE        
As a summer replacement for The Bob Hawk Show (CBS Mondays at 10pm):  
    June 2-August 1952,  July-September 1953   
As a separate NBC series (Wednesday nights):  
    October 1952-June 1953,  October 7, 1953-June 1954, Fall 1954-Early 1955 (8:30pm)  
    [The series was not heard at all in the summer of 1954.]   
Bill's first episode:  April 8, 1953     

Walk A Mile began life as a summer repacement for The Bob Hawk Show, another quizzer also sponsored by Camel Cigarettes.  Hawk's show dated all the way back to 1942, when it was called Thanks to the Yanks and rewarded servicemen.  In 1945, the show was renamed for its popular host, and that's when it instituted its popular "Lemac" game.  A contestant would be asked five questions in a category, and each answer would begin with one of the letters L-E-M-A-C. ("Camel" backwards, of course.)  Anyone who answered all five correctly would be crowned a Lemac, and all Lemacs returned at the end of the show to attempt a difficult five-part final question for a jackpot prize.

While hosting Password Plus for an ailing Allen Ludden in 1980, Bill makes a reference to hosting Walk a Mile early in his career.  Camel had just appeared as the solution to one of the Password Puzzles and Bill nostalgically remembered hosting this early quizzer.
The simpler format of Walk A Mile took advantage of the sponsor's famous advertising slogan, "I'd walk a mile for a Camel."  Each contestant was asked four questions, every question representing a quarter-mile advance.  If the contestant answered all four questions correctly, he "walked" the full mile and won $250.  A jackpot question at the end paid $500, and the money in the jackpot carried over to the following week if the question went unanswered.

The unusual scheduling of Walk A Mile had it bouncing between the CBS and NBC networks, and over its two and a half year run it had three hosts.  Win Elliot hosted the first summer season in 1952.  When the show resurfaced on NBC that fall, John Henry Faulk was the host.  Bill replaced Faulk on April 8, 1953 and stayed with the show until the end of its run.  During its summer run on CBS in 1953, some sources even referred to the series as The Bill Cullen Show.  Bob Hawk did not return in the fall of 1953, but Walk A Mile moved back to NBC anyway, where it stayed for another year or so.

Read two reviews of Walk a Mile in Variety.  The first is of the original episode hosted by Win Elliot on June 2, 1952.  The second is a review of Bill's season premiere on October 7, 1953.
No complete episodes of Walk A Mile are known to exist, and only one episode of The Bob Hawk Show survives.  However, from Bill's personal archive, we have a recording of what appears to be outtakes from the personal interviews that made up the majority of the show.  (Like a lot of comedy game shows of the time, Bill's program was recorded in advance and edited down to a half-hour show.)  This recording does not include any gameplay, but does feature the show's opening.

Hear the opening

Hear Bill chat with a contestant
Original episodes:         
    March 21, 1948 to August 10, 1952   
        Sundays on ABC    
Bill's episodes:    
    August 10, 1954 to Feb 15, 1955    
        Tuesdays on CBS         

The original version of this series, hosted by Bert Parks, was a huge hit built around a simple idea.  As the orchestra played, phone calls were placed at random to anyone in the country.  Listeners who answered their phones and named the familiar song being played won a small prize and the chance to identify a more difficult tune for an ever-increasing jackpot that could reach $30,000.  Bill's 1954 revival was similar, but with smaller payouts.

Vocalists Jill Corey and Jack Haskell provided the music for Bill's version, along with Ray Bloch and his Orchestra.  Guest performers included Richard Hayman, The Mills Brothers and even Irving Berlin, who made a surprise appearance in one episode and actually performed.  Legendary CBS announcer Bern Bennett was the show's voice and the man who actually shouted "Stop the Music!" when a lucky audience member was contacted.

Happy Felton replaced Bill at some point in the series' brief revival.  (Bill was featured at least through October 19, and perhaps much later.)  The series was originally an hour long, but eventually expanded to the odd length of 75 minutes.  At least five episodes of Bill's series survive today, even more than the better-known Bert Parks original.

Bill was profiled in the June 27, 1954 edition of the New York Times. On the same page as his article was a brief note announcing a plan to revive Stop The Music.  The blurb said that negotiations were under way to bring Bert Parks back to host.  Those negotiations must have failed, because Bill ended up hosting the revival.
1953-1955 NBC  
Second Chance was an early quiz program hosted by veteran game show announcer Johnny Olson.  The Library of Congress lists among their holdings one 15-minute episode of this quiz show hosted by Bill, heard on NBC at 11:45am on Friday, January 7, 1955.  We have fifteen episodes of the series, some from before and some from after that date, all of them hosted by Olson.  This would indicate that the one episode the Library of Congress holds is one in which Bill substituted for Olson.  Another possibility is that the Library of Congress info is wrong.