Actual Ones:
Captain Creamsicle's Laughateers
Room To Improv (looks like a good group; it's a shame that the pun implies substandardness) see also the many "Room for Improv-ment"s I found
This is Pathetic (again... just makes it easier to write a bad review)
Tablespoon of Talent Improv
Awkward Silence Comedy
Next Best Thing
One Laugh At Least
(same thing... why not call yourself the Bad at Joke-Telling Don't Bother Comings?)
The Huge Embarrassing Failures (this is an actual one... and I actually kind of like it)
Codependent Theater Co.
SIKOS - Smith Improv Komedy Organization of Smith
OxyMorons
Legitimate Freaks
Village Idiots Improv Comedy
The Idiot Box
Village Idiots
Sheer Idiocy
Rattlebrain Theatre
(why do improv groups want people to think that they're stupid, deranged, or mentally ill? isn't that a different kind of 'comedy' altogether?)
A Pair of Nuts (I'd be okay with it if nuts didn't mean testicles)
Sea Tea Improv (in Connecticut... get it? CT = Sea Tea? too convoluted for me)
Kitsch In Sync (again, convoluted... and neither 'kitsch' nor 'kitchen sink' really has anything to do with improv comedy. kitsch doesn't mean funny; it's really kind of an insult as well.)
ANTIC-Dotes
Disturbing the Piece
(see, just because you use a homophone or slightly change the name, doesn't make it a pun)
Nutty By Nature (the outdatedness of the reference to rap group Naughty By Nature {in itself a pretty lame name for a rap group} is the reason I mention it, but I also just don't like the wacky to the nth degree presentation -
http://www.njactors.org/nutty/index.htm)
The Gurus of Guffaw (good try, but the antiquity of words like guru and guffaw and just the sounds of those words just make it sound goofy)
The Brothers Grinn (a decent attempt, but you could easily miss the title and not even get it and think it's just a theatre group that presents fairy tales ...and if you do get it, you might wonder if all the improv is fairy-tale-themed)
Donkey Hotey Improvcicles (again, it took a while to get the reference in the pun {Don Quixote} and I think I still don't get the full meaning ...then I kind of wonder if it's all Cervantes-themed improv and it probably isn't)
Flaming Dykasaurus (this is an all-lesbian improv group {go for it and be edgy}; the name seems like a pun, but it's not. It doesn't hint at improv or comedy or theatre, and that's okay—it's not a necessity that the name tell you it's improv—it just feels like it's trying to and not)