I can think of:
- Radiant: Excellent game, very long update wait though. MC gets car crashed into a multi-year coma immediately after knocking some girl up with triplets
- Lessons in Love: Even better game in my opinion. MC has near-total amnesia of his entire life up to the day the game starts, because both his mind and the world itself get reset for hard-to-understand reasons. Then things get weird and continue to get weirder.
- Between Humanity: MC wakes up in hospital, if I remember right there's some amnesia but limited in scope. Good game though.
There's also:
- Amnesia (self explanatory)
- My New Memories
- Almost Dead
...which I either haven't played, or played but didn't like much (though other people seem to like them a lot).