Power wise he's on a level playing field with Galactus.
His gear is (arguably) superior. He can access vast amounts of mystical artifacts, he rules countless super powered beings and he has connections with Elder Gods.
Odin will always put Asgard first, but he has also usually demonstrated a protective interest toward Earth. He will not fight Earth's battle for them. Yet he does allow Thor to defend it, general tries to protect it from the evils of the nine realms, and in a few What Ifs?s/alternate universes come to Earth's defense against a threat it could not handle. He is the most powerful force of good that can be kind of counted upon to help Earth if the situation is desperate enough and it will not endanger Asgard.
The Mystical and abstract beings generally do not care about Earth since it is merely one of many worlds to them. Other Godheads like Zeus are too isolationist and only act in self-interest.