There is one that comes to mind REALLY similar to what you say, tho the MC gives to shits about making changes LOLThere should be a version of this where when the MC dies, he gets reincarnated in the past as a different person, but his original life still occurs and now he has to watch himself live out his old life without making any changes which would wipe his new life from existence.
TL;DR: The 6th Day + Quantum Leap + Groundhog's Day.