I compare every other comedy to Gintama. It has depth of quality over a wide breadth of comedy styles. Daily Lives of High School Boys is pretty similar, but more down to earth, a lot shorter, not as varied and doesn't have the same level of character development. Shoutout to Stormoverload who used to be on dbzf, who had Motoharu from that show as his avatar. Good buddy.
If you like crazy parody anime, then Cromartie High School is great too.
Hare+Guu and Golden Boy were pretty good from what I saw. Azumanga Daioh was the first comedy anime I watched (in the first ten anime I watched in general, maybe even first five) and it had one episode that had me in stitches (the dream one).
Also, fuck DJ Khaled.