Neil Simon is a master of comedic plays, most of which were successful many times over on Broadway. Here are the names of just a few: The Odd Couple; Barefoot in the Park; Prisoner on Second Avenue; The Goodbye Girl.
All of these plays take place in New York City. They are fun with interesting and hilarious characters. He has written many more. Have fun reading these great plays!
One of my favorite funny plays is called "Noises Off." It's not that easy to perform because it is a play about a play. The characters are participating in a production that continually goes horribly wrong. The set shows both the on-stage area of the production and the backstage area because we are watching the characters perform a play within a play. This play has both physical and verbal humor. I don't remember there being any dancing per se, but it's still a really fun play. If you're interested, there is an old movie version of the play you could watch to get an idea of what it might look like.
Alan Ayckbourn's 'Norman Conquests is very funny - you would need to check cast size though.
Sabrina Fair - decent cast size, very funny in places.
Translations by Brian Friel
While only including a few characters, the short play "It's Nuts" tells of squirrels fighting over what type of nut is best. Another comedic play is "Of Lunch, Love, and Losers." Again, limited in characters (only four), but hilarious nonetheless. One final one I found was "Rock, Sword, Firecracker!" This play is a twist on the traditional "rock, paper, scissors" game.