I had seen parts of The Daily Show before since I've been an avid watcher of the Colbert Report for about a year now, but it didn't really seem all that interesting until we watched it in my AP Euro class when Stewart was making some jokes on the European economy. After that, I was hooked. Now my hour of nightly news comes from both Stewart and Colbert, which is better since Stewart often gives the context that Colbert has to leave out as part of his character. Here, it's just Stewart making fun of politics and world news, out in the clear, and it's just as funny.
However, it's a little bit edgier than the Colbert Report, the sex jokes in the particular. Usually it's because of the visuals to go along with it, whereas most of jokes on the Colbert Report either go without or show fairly innocuous pictures. At least once an episode, those images would be pretty hard to explain to younger viewers. The bleeped swearing is also more frequent here, but again, a lot of it is censored except for mild swears. (Though it's usually pretty easy to tell what was said in the bleeps.) Along with that are a couple moments where they seem like proponents of drug use, but they don't come up that often.
Overall, the show is a funny edition to my late night comedy.