I think a lot of the "thou shalt nots" like cheating, stealing, murder etc go without saying. While my religion doesn't approve of such things either, we don't need a god to tell us not to do them because they are wrong. I don't consider them restrictions in a religious sense. So discounting the things that we can determine are bad based on experience and analyzation of the consequences, I'm trying to think if there are any restrictions on a purely religious level.
We're allowed to learn about other religions, interact with members of other religions, participate in other religions' services, as well as acknowledge other gods.
I have no dietary restrictions (again, eating lots of unhealthy food is discouraged not because god, but because the effects are observably bad). My system doesn't call for any fasting at any time.
I can't think of any gender restrictions. Males and females of any sexual orientation can participate in any aspect of religious ceremonies equally.
I knew of some Pagans who restrict what you can wear or take with you into a religious ceremony. For example, some say you're not supposed to wear a watch, or have money on your person, but I think that's more of a personally imposed restriction in the name of religion. It's not something dictated by the gods, so it's not universal. I don't think that really counts.