Code Geass > Death Note. Watch Season 2. Best anime Season ever. A good anime would be hunter x hunter as it has good fight scenes, an interesting world and mind games. You'll like Attack on Titan too but it may be too gory.
Almosy forgot but ive watched attack on titan till episode 4 i think
I liked it but it was okay, not super like death note but ill give it a try again
And code geass too