Off hand I think the list is as follows. Fire Fang, Dragon Rage, Imprison, Ancientpower, Flamethrower, Dragonbreath, Slash, Extrasensory, Fusion Flare, Dragon Pulse, Crunch, Fire Blast, Outrage, Hyper Voice, and Blue Flare. You are a Dragon/Fire type pokemorph so it pretty much stands to reason you could use at least more or less all the fire and dragon moves save for perhaps Sacred Fire that belongs to that Lian-oh. You can also attack the target even if they have some ability that should shunt off your attacks.
The fact that you are a dragon and working for me nets you even more options but we will get to learning those in the future. Not the least of which is an old spell I know that does more than its name implies. How would you like to be able to move at four times your normal speed?