Yes they do here is all the ones that I have gotten from his house. But it is also the luck of the draw you never know what one you meet. Lately I've been getting tux Mickey. Anyways here are the ones you can see.
There is one more Fantasmic Mickey but I haven't gotten that one yet.
I never knew they alternated with steamboat Willie, granted I don't have that many opportunities to visit. But I really want a picture with Steamboat Willie! I wonder who decides which Mickey goes out?
I've heard you can ask a cast member what Mickey is "filming" today and they will let you know which Mickey will be at the end for photos.
Not exactly but here is what you can do.
Mickey meets guest in a few different rooms. Guest are rotated into the next available room. As Capt Hook has pictured above there is also Mickey in his sorcerer cotume.
As you go through Mickey's House and into the barn aka film room, where you watch old movies, at the end of the line is a CM asking how many are in your party. Ask that CM if the Mickey you'd like to meet is available and with another wait of 5 or so minutes you can catch him in the costume you pefer.