1. Copyright, trademarks, and patents are a pretty weak argument for "censorship" IMO. But I guess I see where you're coming from. There are also many "fair-use" exceptions for these that make it less "censorship" and more "preventing profit on other people's ideas".
2. "US outright ban any casual religious reference because it offend some believers, resulting modifying some manga/anime/game" -- Can you give an example? This seems to go directly against first amendment rights.
3. "national security" -- There have been many cases where the government will work with press to attempt to stop them from releasing information that would damage national security. There have also been many cases where the press has not listened, and they're allowed to do that. What specifically are you talking about here? Direct theft of government property/information is illegal, but I would hardly call that censorship. NDAs I guess are censorship, but they are an agreement between two parties, not the government deciding arbitrarily what to censor.
4. "ex-political party symbol" -- absolutely not banned in the US.
5. Okay the last one is a fair example of censorship. I'm not familiar with the US laws on that one and frankly I don't want to find out...