This is the US version, which has tracks composed and arranged by Spencer Nilsen.

NOTE: Made a mistake with the tracks. #23 is missing it seems, but it's just an extra Dr. Robotnik track like #22. Another track like that was the 'Sonic Boom' Title Theme (#24)

http://www.megaupload.com/?d=9TM7AWN8

Details
Bitrate: 192+ Lame VBR
Composer: Spencer Nilsen
# of Tracks: 31
File Size: 62.7 MB (Zipped)

1-Palmtree Panic (Present)
2-Palmtree Panic (Good Future)
3-Palmtree Panic (Bad Future)
4-Collision Chaos (Present)
5-Collision Chaos (Good Future)
6-Collision Chaos (Bad Future)
7-Tidal Tempest (Present)
8-Tidal Tempest (Good Future)
9-Tidal Tempest (Bad Future)
10-Quartz Quadrant (Present)
11-Quartz Quadrant (Good Future)
12-Quartz Quadrant (Bad Future)
13-Wacky Workbench (Present)
14-Wacky Workbench (Good Future)
15-Wacky Workbench (Bad Future)
16-Stardust Speedway (Present)
17-Stardust Speedway (Good Future)
18-Stardust Speedway (Bad Future)
19-Metalic Madness (Present)
20-Metalic Madness (Good Future)
21-Metalic Madness (Bad Future)
22-Dr. Robotnik
(Mistake in track numbers)
24-'Sonic Boom' Title Theme
25-Stage Clear!
26-Speed Up!
27-Invincible
28-Game Over
29-Special Stage
30-'Sonic Boom' Time Attack Theme
31-'Sonic Boom' Opening Movie
32-'Sonic Boom' Ending Movie

Enjoy, and please post/PM me if the download link is dead so I can reupload it.

I'm glad to finally see the US version's music for download. However, it's missing the past music that was used in all versions of the game. So here's a link for those too.
http://www.megaupload.com/?d=5LZS0HK0

That's why it's "Redbook Audio", which doesn't have the past music.

Thanks for the link though.

Ah. Gotcha. I couldn't find the past music anywhere until I ripped it off of the PC version of Sonic CD.:) So I figured that someone else out there could use a little help.