Here you go, kocoum:
Title: Ranma Nibunnoichi - Akanekodan teki Hihou
Artist: Toshio Okamoto
Year: 1993
Time: 34 minutes 36 seconds
Tracks: 28
Source: Game Rip
Quality: VBR
Track List:
01 - Title Screen
02 - Town Theme
03 - Cat Ghost King
04 - Ranma's Home
05 - Battle Theme
06 - The Red Cat Gang
07 - Tokyo
08 - Trouble!
09 - Boss Theme
10 - Battle Victory!
11 - Dungeon 1
12 - New Party Member
13 - School
14 - World Map
15 - Good Night!
16 - Troubled Town
17 - Dungeon 2
18 - Fanfare
19 - Ship
20 - Escape
21 - Game Over
22 - Cave to Red Cat Gang Castle
23 - Red Cat Gang Castle
24 - Cave of Cat Ghost King
25 - Cat Ghost King Temple
26 - Final Battle
27 - Ending
28 - Ending Credits
http://www.mediafire.com/download.php?yi2hx5nmizq
If you're ever looking for them, I can convert some of those other SNES Ranma soundtracks for you.