Actually, I don't think LOTR can win any of these. Star Wars movies are just more iconic, their characters are more iconic, Vader by far is the most famous villain of all time, world building is a lot better (LOTR just isn't as explored), OST still Star Wars better, games, EVEN prequel movies - The Hobbit sucks so badly.
TV shows goes to SW easily.
The only category LOTR can win in are books, and you did not even mention that one.