Unfinished = anything I’ve started, and not done with yet
Beaten = there are some achievements still missing, but I’m done with the game, it offers no further meaningful content
Completed = finished the game’s content, and got 100% of its achievements
Won’t play = either didn’t want the game in my library in the first place (from the old Humble Bundle days), changed my mind about playing it, or tried it and found it annoying / boring / broken, so I dropped it.