I tried the new version, post jam, and it is a real improvement over the jam version. I feel like there are too many mimic dice, and I had a problem where I couldn't roll my last die for some reason at the end of level 2, ended with only 1 in jump, and fell into a place I couldn't get out of.
It's still feels a bit empty, at least after the first level. More gameplay elements would add a lot to the game. For example you could add blocks that need to be drilled twice, pipes that transport the player somewhere else, or bombs that break blocks but can also harm the player.
Anyway, good job, I had fun with it!