I highly recommend Genshiken. It's about a university anime/manga/video game club, so its' kind of like looking in a mirror (for some of us at least). No combat, no magical girls, just plain hillarious.
As a minor warning, there are a lot of references to porn, though not any porn in the show itself. For any weirdo-fundies that don't even like to hear about such things, avoid at your own loss.
Also, Full Metal Panic is another great series. There's a fair amount of combat in it, but there's quite a bit of other bits to it; also, its' offshoot Full Metal Panic: Fumofu is the majority of the comedic bits left out of the manga-to-anime conversion, and is HILARIOUS. The big upside is right now you can get the whole Full Metal Panic first season for $40(US) if you look hard enough.
As a minor warning, there are a lot of references to porn, though not any porn in the show itself. For any weirdo-fundies that don't even like to hear about such things, avoid at your own loss.
Also, Full Metal Panic is another great series. There's a fair amount of combat in it, but there's quite a bit of other bits to it; also, its' offshoot Full Metal Panic: Fumofu is the majority of the comedic bits left out of the manga-to-anime conversion, and is HILARIOUS. The big upside is right now you can get the whole Full Metal Panic first season for $40(US) if you look hard enough.