As a student learning Japanese, I'm fond with the animes and Japanese music industry. Some excellent animes (not including the already well-known ones) I recommend are :
1. Guilty Crown
2. K Project : The Missing Kings
3. D.Gray-Man Hallow
5. Bungou Stray Dogs
For music, I bet not many would like Visual Kei. But J-Pop and J-Rock are actually awesome.