I suppose mostly this will be sitcoms, though I'm not a big fan of the term. There might be some shows here that I wouldn't call "sitcoms," per se, but I'm not necessarily sure what to call them, beyond simply "comedy." Of course, that doesn't preclude the possibility of drama within the shows, so there might be some I'd think of more as dramedy.
See also camp, period, quirky, talk/news, variety shows, etc.
And comedy movies and comedy & satirical novels and comedy webseries