6. Anything from Hayao Miyazaki heart emoticon
Well, not everything. Miyazaki directed a lot of movies, but IMO his best stuff was:
Lupin III: Castle of Cagliostro
Laputa: Castle in the Sky
My Neighbor Totoro
Spirited Away
Evangelion's great too. You'll get more out of it if you've watched a lot of giant robot shows, but not strictly necessary. Start with the TV show. The movies are a bit out there.
Assassination Classroom and Dominion Tank Police were just meh, again IMO.
My own recommendations:
Parasyte: The Maxim is one of the best TV series of recent years.
Akame Ga Kill - A different take on battle manga/anime, but very effective.