I often read webcomics when work requires me to sit and wait and just keep an eye on something and wait for it to go wrong. Most of them only update a few times a week, so I have a long list of sites to check for new pages, but I'll just list a few favorites here.
Girl Genius - A female geek in a vaguely Earth-like steampunk / gaslamp world full of monsters, robots, and mad scientists. Good mix of comedy and drama.
MegaTokyo - Two hardcore American gamers get stuck in Tokyo with no money, where they have to deal with ninjas, giant lizards, androids, the undead, and even schoolgirls, some of whom may be magical. May be a little heavy on the drama for some readers.
Looking For Group - Takes place in a fantasy game world, with a horribly, hilariously mismatched group. A little drama here and there, mostly dark humor.
Ctrl-Alt-Del - Gamers and their friends, some of whom may even be sane, for a given definition of reality. Mostly comedy with occasional bursts of drama. Oh yeah, robot.
Least I Could Do - No video games here and only occasional fantasies about sci-fi, fantasy, or games. It's just this guy named Rayne, being a guy, and refreshingly, sometimes disturbingly, honest about it. Updates every day!
8 Bit Theater - Low-rez comedy of a motley crew of hyperexaggerated archetypes in a fantasy world. Much absurdity, very little drama. Very few robots.
Do not try to think outside the box, for that is impossible. Simply realize the truth; there is no box.