How about adding a flag "Won't complete" or another choice between "Incomplete/Finished/Completed".
I've some really bad games that I won't complete.

There is also N/A. I usually throw games under that bucket that I won't complete or can't actually complete.

I seem to recall this being discussed somewhere else on the forums and I think it ended up buried in my task list somewhere :P I think we were going to call it "Retired" or something. I'll add another item to my list and try to get this taken care of.

Maybe one day @smande00 will build that forum search feature...