6-1
This stage has symmetry of structure and symmetry of solution--you need to push the blocks on the left the same way you push the blocks on the right. The middle blocks don't follow that rule, though. It's also worth noting that the very last block you can put in place is the top middle block.
Here, you can screw up the three-block puzzle.
Push the middle of the three blocks towards the middle of the room, and you're stuck--you can't push the rightmost block down because there's a tree in your way.
6-2
First time in the game where you have to take advantage of Lolo's half-tile movement! Otherwise, you can't block both medusas.
6-3
6-4
This one requires some neat use of currents. Wait until the egg goes all the way around to the right side of the medusa before hopping on!
6-5
Hmm. Maybe I ought to start tagging each stage with things like "symmetry of structure" and "leeper."