Not sure what's been suggested but here goes:
Gurren Lagann
Steins;Gate
Kill La Kill
Sokugeki no Soma
Attack on Titan/Shingeki no Kyojin
Samurai Champloo
Fooly Cooly
One Punch Man
Log Horizon
Code Geass
Angel Beats
Little Busters
Kaichou wa Maid-sama!
No Game No Life
These are just some things that I liked. I don't expect everyone to like them or anything, but many of these are good starting points.
If you have endless time to burn and really want to just give it all up, you could try something like Naruto, Bleach, or One-piece, but don't blame me if you never finish the endless marathon.
