I'm currently finishing off a tidy up of edit mode for the patch and spent some time on the music section. Here's what I have (Please feel free to message if you think I have something wrong).
1. No Fear theme
2. Steve Austin 'Glass Shatters' theme
3. Fort Battle from the Last of the Mohicans soundtrack (Rickson Gracie) but it could just as easily be Goldberg's theme.
4. Hiroshi Tanahashi's 'Strange' theme
5. Akira Taue's 'Eclipse' theme.
6. Inoki 'Bom-Ba-Ye' theme
7. Hiroyoshi Tenzan's theme
8. Genichiro Tenryu's 'Thunder Storm' theme
9. Masahiro Chono's 'Hard Crush' or 'Main Eventer' theme
10. Mitsuharu Misawa's 'Spartan X' theme
11. Riki Choshu's 'Power Hall' theme
12. Great Sasuke's 'Integral Hard' theme
13. Akitoshi Saito's 'Kenkon Ichigeki' theme
14. Great Muta's 'Kyosokyoku' theme
15. Kensuke Sasaki's 'Power' theme
16. Ikari no Jushin Liger theme
17. I Love it Loud by KISS (Dr. Death)
18. Kenta Kobashi's 'Grand Sword' theme
19. Mr. Gannosuke's 'Kishindo' theme
20. Hiroshi Hase's 'Two Hearts' theme
21. Osamu Nishimura's 'Heaven Knows' theme
22. Keiji Mutoh's 'Triumph' theme
23. Tatsumi Fujinami's 'Cho-Hiryu' theme
24. Haruka Eigen's 'Finisher' theme
25. Hiromichi Fuyuki's 'Shoot it' theme
26. Jumbo Tsuruta's 'J' theme
27. El Samurai's 'Terrible Gift' theme
28. Ultimo Dragon's 'El Dorado' theme
29. Super Delfin's 'Senor Perfecto' theme
30. Giant Baba's 'Oja no Tamashii' theme
31. Night on Bald Mountain (The Sheik)
As an added bonus, the Rolling Up match music is also Dory Funk's 'Spinning Toe Hold' theme. Don't worry, I've edited Dory so this plays as his theme now!