It's been 2 weeks already. But, I do have an idea for the 4th "Big ____ Tower VS Tiny Square" game. I call it "Big Disco Tower VS Tiny Square".
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No. But, like how a disco normally uses music to work, the player will have to find and hit boomboxes scattered around the tower. If they don't hit a boombox in time, they die and are sent back to the previous boombox they hit, checkpoints ignored. This could really be cool, as the player now has a time limit to deal with. These boomboxes are not required on the way back down. There'd also be different colored tiles, being Red, Blue, and Yellow. Blue tiles act like the ice in the Big ICE Tower, Red tiles instantly kill the player (acting like a laser), and the Yellow tiles make the player instantly jump (acting like a bounce pad).