Depends what genre you like, but I suppose you could try new ones too. These are just a few off the top of my head that I personally enjoyed:
- Maid Sama
- Clannad and Afterstory
- Elfen Lied
- Toradora
- Suzuka
- Golden Time
- Hunter X Hunter
- Attack On Titan
- Kanon
- Sword Art Online
- Log Horizon
- Devil is a part-timer
- Future Diary
- Shuffle
- Kimi Kiss Pure Rouge
- Date A Live
I've watched more that I enjoyed but these should give you a nice start I suppose and you can just search for other ones from the ones you like as well.