As primary sources for this guide, I checked this Steam video guide by Leaving Leaves, and recorded their below-par solutions. Later on I also incorporated numbers from side.white's Steam guide, which used a brute-force script.

For each level, I've listed the source from which I obtained the number of moves below par. This is not meant to imply that the source was the only or the first one to solve that level with that score, but merely that they were the first source I found for that score.

Have you found more levels that can be beaten below par, or any solutions that are even better than the ones listed here?

Feel free to post a screenshot of the in-game overview to prove that you've beaten a level's par moves, and by how much, and I'll try to incorporate your info into this guide.