We already know they got Tower of Zot in there.
I'm expecting something related to Within the Giant. You can hear snippets of it in binding coil music, the burn (most clearly) and penitus, which is fitting given bahamut was sealed in dalamud and the garleans crashed it
Regarding battling anima however...that's a trickier one. When we fight her in ffx we have seymour's ambition in the first battle. In the optional battles its just the standard battle them.
So I aint a clue what we will get to fight her with. Maybe something original, maybe a remaster of something from ffx.
Personally I'm hoping we get Zeromus' theme, golbez's theme and troia from ff4.
From ffx I'm hoping for Path of repentance (via purifico) Original sin (the unreleased final boss music vs that tick)
any you guys hope for?