Here’s a list of a few anime & manga worth watching/reading:
- Tokyo Ghoul (manga) – tragedy
- Original Yu-Gi-Oh manga – similar to Saw
- Clannad + After Story – slice of life anime
- Psycho Pass – Deconstruction of the justice system
- Gintama – the random incarnate, however can be very serious. (My personal favourite.)
Clannad and its sequel was one of the most moving animes I’ve seen so far. Would recommend Steins;Gate if you haven’t seen it yet.