I really liked this game! The art is great, the battle system is amazing, and it's just all around fun. I would absolutely play a full version of this.
The enemy attacks were neat, the puzzle was cool, and the boss fights were really well done.
If I were to leave any kind of recommendations, it would be that controller support would be awesome. I don't know how the "select enemy" mechanic would work with one, but I would love to be able to use a d-pad to input elements. I usually prefer keyboard, but for some reason I would prefer to use a controller on this one. The only other real thing is as others have said, a start and end sequence to the battles would be nice. I had a few times where I was moving up when a battle started so I immediately input the wrong button to start the attack.
I hope you guys push this to a full release eventually! Absolutely amazing job!