The openings in the anime have always been study material, there are some that are totally inconsequential but there are others that just listening to them makes you want to watch the anime. I know this is not what this post is about, but for me, one of the greatest openings in history will always be Evangelion. I think people should pay more attention to these songs, many don't do it and they are missing something vital in the anime.
Evangelion has, as you say, one of the best openings in history. I didn't want to mention it because it is so mythical that I preferred to talk about other less known ones to use the post as a recommendation as well.