"Achewood", "Penny Arcade" and "PvP" are among the internet-only comics mentioned in an article at the Time magazine website last week...
In one story arc a wealthy pleasure-loving cat named Ray dies and goes to hell, where he's forced to drive a 1982 Subaru Brat and gets drunk with legendary bluesman Robert Johnson at a Best Western. This kind of thing never happens to Garfield.
Read the full article here, or just click some of the webcomics links on the left.
Oh, and another recent add to my regular web browsing: "xkcd", which occasionally contains strong language (which may be unsuitable for children), unusual humor (which may be unsuitable for adults), and advanced mathematics (which may be unsuitable for liberal-arts majors).