I do. A few anyway. I used to read a lot more but reading blogs took over that free time.
But I still keep up with a few of my favorites.
A few of them update every day but I like to save them all up and then spend and hour or so reading months worth of comics. It's awesome.
One of my favorites is Questionable Content.
Per the page "Questionable Content (or "QC," as it is frequently abbreviated) is an online comic strip that is ostensibly about romance, indie rock, little robots, and the problems people have."
It has an ongoing storyline which is great for long time readers, but the individual comics are typically stand alone.
One of my other all time fav web comics is Girl Genius. Its tagline is "Adventure, Romance, MAD SCIENCE!" And if you like steampunk even a little (or want to explore steampunk a bit) I HIGHLY recommend this comic.
Unlike Questionable Content this one is pretty much a straight storyline, so you would have to start from the beginning. But the art is awesome.
Twin, Brother and I also enjoy reading VG Cats, which stands for video game cats. Since this one tailors specifically to gamers it's really only funny if you play a lot of games. It's not updated very frequently but when it is, it's usually hilarious.
Finally, the last one I read on a regular basis is XKCD.
There's nothing like a comic about romance, sarcasm, math and language that's done with stick figures.
Do you read any webcomics? If so, any you would recommend?