Lets see...
Nimbus Cloud
Flying Carpet
Serpent Style Dragons
Can the Ahriman mount fly now, pls?

Self/Chakra Flying (MNK)
Fairy/Angel Wings (SCH/SMN)
Bat/Demon Wings (BLM)
Pegasus (WHM)
Helicopter or JetPack (MCH)
Hulk Super Jump (DRG) lol, ok maybe not...