This is a portion of the webcomics I read, and would recommend. Some of them are more mature in subject, so be warned.

6-Commando | The Meek | Lackadaisy Cats | Daqueran | String Theory | reMind | Thistil Mistil Kistil | Wyliman | Toilet Genie | Roza | Everblue | Commander Kitty | Dresden Codak | Carpe Choas | Rice-Boy | Johnny Wander | Edmund Finney’s Quest to Find the Meaning of Life | Nathan Sorry | The Abominable Charles Christopher | Family Man | Tiny Kitten Teeth | The Din | Cheap Thrills | Gunnerkrigg Court | Stupid Snake | Power Nap | The Fox Sister | A Redtail’s Dream