Victory Fanfare from all of them.

It's been a while since I've played a lot of these so I'm probably forgetting a lot.

IV
Battle With the Four Fiends
Battle With the Four Fiends (Black Mages version)

VI
Edgar's theme or Figaro Castle
World of Ruin
Dancing Mad
Terra's Theme

VII
Cosmo Canyon
One Winged Angel

VIII
(I really can't remember a single song right now)

IX
Rose of May
The Place I'll Return to Someday
The Four Medallions
You Are Not Alone
Dark Messenger
Necron Battle
Melodies of Life (Best of the Best)
Ukelele de Chocobo
Vamo Alla Flamenco
Hilda Garde 3
Hunter's Chance
Hunter's Chance (Black Mages version)
Boss Battle

X
To Zanarkand
The Skies Above (Black Mages)
Seymour Battle

XII
.......