I'll go ahead and name a few that haven't yet been mentioned. Going by what you are looking for, story driven anime with some suspense?

GATE.
Erased. Definitely something you should check out.
JoJo's Bizarre Adventure. I'm surprised no one has mentioned this, but it's worth watching. It's a long series with several parts, each as it's own season. It's recommended to start from the beginning, or you can skip to Part III with Stardust Crusaders which contains two seasons by itself. You're in for a long haul with this.
Made in Abyss.