I’m fairly new to anime, I've only watched about 50 shows. But I'd say aside from video games, it's probably my favorite entertainment medium.
So here's my list of favorites, shows are rated out of 10.
Top Favorite Anime (As of August 2020)
March Comes In Like A Lion 30
Hunter X Hunter 21
FLCL 18
His And Her Circumstances 17 (First 18 episodes)
Kino's Journey 14
Ping Pong The Animation 14
Psycho Pass 13
Space Patrol Luloco 12
Tatami Galaxy 12
Gurren Lagann 11
Serial Experiments Lain 11
Specific: Polocle's Favorite Video Games
Related: What's Your Favorite Show?
General: Favorites