You choose a creature you control for Bronzehide Lion to enchant as it returns to the battlefield. If there's nothing it can legally enchant, it remains in its owner's graveyard.

If you control but don't own Bronzehide Lion, you'll return it to the battlefield when it dies, not its owner. It'll enchant a creature you control.

If a token is a copy of Bronzehide Lion, it won't return from its owner's graveyard.

If a nontoken permanent is a copy of Bronzehide Lion, it returns from its owner's graveyard as an Aura with the two abilities granted by Bronzehide Lion and none of its normal abilities. If it has any enters-the-battlefield replacement effects, those won't apply. The Aura keeps its name, colors, and any supertypes it may have.