[Monster] will not attack Players Level 3 or below...

[Koto]

Originally Posted by MunchkinMan

Or, if you die. Or, if a card says so. Also, once you give away or discard cards as part of Charity, your turn is over.

Otherwise, you and aeronaut are correct enough. From memory enhanced by a quick database search, there are no Monsters that do not fight based on Level. Those that will not "fight" or "attack" are controlled by Race, Class or gender.

Except General Tso from Monky Business. If you have more than level 5, he runs away and leave his treasure behind.

See ya.