[Ramones1976]

These are a few that I think are good, pretty catchy:
YouTube - Ranma 1/2 intro 2 (2nd opening)
YouTube - Ranma 1/2 - Ova Opening
YouTube - Sailormoon Sailor Stars Opening
YouTube - Samurai Deeper Kyo ? Opening
YouTube - InuYasha opening 2
YouTube - Inuyasha Opening 3
YouTube - めぞん一刻OP1 ～悲しみよこんにちは～
YouTube - Maison Ikkoku ed - Cinema
YouTube - Ah! My Goddess- Opening
YouTube - Full Metal Panic! Opening
YouTube - Princess Princess : Opening TV
...and more.