Fire Fang is the best and only viable physical Fire move outside of Gen V, which sees Flareon learn Flame Charge (which is a better move; higher accuracy and added speed boost).
Facade, Return, Headbutt, Super Power are good non-Fire moves for Flareon, and maybe Bite for some type coverage.
If this is in-game and not competitive, I suggest Flamethrower. Flareon has a base 95 Sp. Atk, which is not shabby.
If you really want another Fire move, go for either Fire Fang + Flamethrower, or (if this is in-game) Flamethrower + Lava Plume. All things considered, Flareon only really needs one Fire move.