Only missing a few extra pieces.
How about the Wizard, I just made it up.
Moves however you want on every day of the week except:
On Tuesdays it takes a nap and can not move at all.
Every leap year, on the 29th of Feburary, it moves like a Warlock, which is kinda like a Drunken Sloth but a bit different.
Should be perfect for this forum.