Been some time since I've watched stuff
When I started many years ago my favorites were Toradora, Clannad AS and Rurouni Kenshin.
More recently, my recommendations would be:
PsychoPass 1,
Initial D,
Jormungand,
Steins;gate,
Gate,
Overlord,
Ghost in the Shell,
Darker than Black 1.
Manga mentions: Berserk, Claymore, Gantz, Cage of Eden, Tower of God, Liar Game, Btoom, Darwin's Game (survival game genre ftw.)