For solutions, look at an earlier post.
Sequence Puzzle in Wizard’s Tower:
If you notice the first two arrows (they are fixed), they seem to be rotating in a certain direction.
Sequence Puzzle in Fairy Garden:
Number of boxes seem to be increasing.
Sequence Puzzle in Ice Room:
You need to make pairs.
Sequence Puzzle in Machine Teleporter Room (Dancing Men):
Looking at the fixed runes, arrange the runes so that only one arm or leg is different from the last one.
Sequence Puzzle in the Room of Seasons:
Rainbow colors!