Cromartie High School
Jungle Wa Itsumo Hale Noche Guu
I haven't actually watched it, but maybe Super Milk Chan Show.
I've seen all 3 of those.
Cromartie is awesome.
Second one's english localized title is Hare + Guu, which is far easier to remember. It's really amazing and completely hilarious.
I kinda like Milk Chan I guess, so long as we're talking ADV's 'americanized' gag dub verison.
Of course, Cromartie and Hare + Guu actually have continuity, but it really doesn't matter much with those. They have about as much continuity as your average sitcom.
Could I mention Excel Saga? It's got continuity sure but it's just so off-the-wall and completely nuts.
I want to mention Slayers, even though it actually has an "epic" overarching plot (well several of them) and definitely has continuity, but it's a parody and is comedic far more often than not. It's kinda like the anime equivilant of Terry Pratchett. Got like 5 seasons worth of episodes and a shitload of movies, OVAS, etc.
Oh, you'd have to watch it subbed since as far as I know it's still not been picked up for localization, but what I saw of Sayonara Zetsubo Sensei was really fun.