Attack on Titan (Just overall fantastic) Kill la Kill (Unless you are bothered by fanservice) Code Geass (Very good story) The Melancholy of Haruhi Suzumiya (Beloved by many including myself) Sword Art Online (Not the best but certainly solid) Higurashi No Nako Koro Ni (A bit of horror mixed with childish innocence) Stein;Gate (Time travel done well) Welcome to the world of anime. I just started a year ago. You will fit in just fine.