Final Fantasy Tactics is an active property, so I can't host any music files here for its soundtrack. Rather, I can provide you with links to other sites. There's also a strong rumor for a remake or remaster in the works (for a possible release in 2023), so that's another reason the property is active and Square Enix is enforcing takedowns of music and ISO downloads.
Music Streaming
Square Enix has yet to add the soundtrack for Final Fantasy Tactics to popular music streaming services as they've done for Final Fantasy, Mana, and SaGa. I'll need to direct you to soundtracks that fans have uploaded to YouTube.
Fan Music
The best place to listen to Final Fantasy Tactics fan music is at OverClock ReMix. They offer hundreds of songs! They have also uploaded their music to YouTube.
Extracted Game Music
The fan base has gone a long way with emulation. In the early 2000s, they came up with 'extracted game music' (a.k.a. chiptunes). They extracted the programming of the music from every classic video game and built digital soundtracks with them. With special music players, you can play these music files as if they were MP3s. And they're far better quality than MP3 because it's the actual programming of the song that you're listening to! In this realm, Super Nintendo music is under the 'PSF' file format. Music players that support PSF can be found on any device: Windows, Android, iOS, Mac, and Linux.
My favorite feature about this music is how small it is. Final Fantasy Tactics's PSF soundtrack is around 300 KB while an MP3 soundtrack is around 400 MB! So you could quite literally have hundreds of classic gaming soundtracks on your iPhone or Android phone, and barely make a dent in your phone's storage.
If you want to learn more, read my tutorial for Extracted Game Music. My tutorial also provides links where you can download PSF music (to download Final Fantasy Tactics's soundtrack). Extracted game music can be converted to MP3, too. My tutorial provides directions on that process.
MIDI Music
MIDI music is a relic from the early days of the Internet when it was the only music we could download with our slow dial-up connections. It's fan music because MIDI files are made by people playing the songs on electric keyboards. The #1 website for video game MIDI music still exists today: VGMusic.com. There you can download Final Fantasy Tactics's entire soundtrack in MIDI format.
Album Covers
Here are some album covers. The first one is the official cover and the other is made from the title screen.
