Escaflowne, FLCL, Neon Genesis Evangelion, Full Metal Alchemist, Cowboy Bebop, Ghost In The Shell, Gurren Lagan, Kill La Kill, Magical Shopping Arcade Abenobashi, Haruhi, One Punch Man, Oh My Goddess, Tenchi Muyo, Love Hina, Azumanga Daioh, Dandadan, Dead Leaves, Megalo Box, His And Her Circumstances, Otaku No Video, Run With The Wind, Hajime No Ippo, Hikaru No Go, Monster, Mushishi, Record of Lotus War, Demon Slayer, and lots more.

There is a ton of quality anime with either great storytelling, great character depth, and usually both.