To move a planet you would feasibly need super invulnerability and super flight speed.
Id say...
Silver Surfer, Hyperion, Nova , Genis-vell , possibly sentry
Of course you could also fudge it with the hulk rending a planet in 2 , scarlett witch hexing, Quasar could build massive jets out of quantum force and propel a planet (actually i think he has done this)
I think its pretty stupid to have a character move a planet. Given the small size of a hero and the velocity required, its much more likely from a physics standpoint the person would simply punch a hole through.
I do know one marvel character who could move a planet for sure...and thats EGO the living planet.