I don't know if I have a list of ten, but I'll tell you the ones I love:
1. Elfen Lied - Lilium
2. Higurashi No Naku Koro Ni - Can't find the name ohwell.
3. Cowboy Bebop - Space Lion
4. Earth Girl Arjuna - Sanctuary
5. Outlaw Star - Hiro no Tsuki
6. .hack//Sign - Obsession
7. Neon Genesis Evangelion - Fly me to the Moon
8. Paprika - The girl in Byakkoya (LOVE this one)
9. Paranoia Agent Opening
10. ='.'= .... drawing a blank!
That's all I got. :3