Some of my picks would be (not in any particular order):
1. Final Fantasy - Vocal Collections I - Pray - Once You Meet Her
2. Final Fantasy - Vocal Collections II - Love Will Grow - Love Will Grow
3. Final Fantasy - Vocal Collections II - Love Will Grow - Estrelas
4. Final Fantasy IV - Celtic Moon - Trojan Beauty
5. Final Fantasy IV - Celtic Moon - Theme of Love
6. Sega Piano Nocturne - I Just Smile (Piano ver.)
7. Gyakuten Meets Orchestra - Fragrance of Dark Coffee
8. Chrono Trigger - The Brink of Time - Secret of Forest (jazz remix)
And if you're willing to include anime:
1. Macross Plus - More Than 3CM
2. Escaflowne - Hitomi Theme
3. Escaflowne - Again
And finally a non game nor anime suggestion is:
The Dan Band - Total Eclipse of the Heart
Edit: Whoa, didn't realize how old this thread is. Did you get married already OP?