Let's say I run a basic website with no special legal concerns. What legal issues does every website have that I should know about?
No matter what kind of site you run, it is also a very good idea to register as an official copyright infringement agent. It costs about $140, but it could save you a LOT of hassle in the future.
Other than that, it's hard to say much more since you haven't revealed much about your website. You should be more specific if you want more information.