Realistically, you don't even have to worry about most of this.
Filmmakers just take the extra step of leaving all trademarked logos and images out of their shots just in case a litigious brand decides to sue based on defamation and to maintain a good relationship with those companies.
Brands are merely avoided; Not as a rule, just as good business practice. The reason you see unbranded goods in TV shows is simply to maintain good relations with brands, avoid potential litigation, and to maintain the value of product placement. (if you owned Coca-Cola, you wouldn't want to pay extra to appear in a film that'll show every other brand for free)
Odds are you can show whatever you want without worrying about it. And as for props and figurines, you'll NEVER have to worry about those.
Art and movie posters are another issue, though. Copyrighted images could get you into trouble, but "Fair Use" is a defense that will most likely protect you, especially depending on your intended use, the effect you have on the copyrighted work's market, and the amount it's used. (in court, a judge would probably rule in your favor if these are just on the walls in the background)