There is walking, flying, and bypassing which is underground movement that can’t bypass voids like flying. I think there should tiles that have low ceilings of some sort that restrict flying Phobies. I also see two movement types you might like, which are teleporting (it can move through enemies in the way) and the opposite of bypassing jumping. Which can come with Phobies related to fleas and other things that jump at you 
and teleporting would mostly be used by dimensional and mechanical I see possible monsters with the movement and for jumping it can be balance with spring like things for mechanical and a cloud/smoke like dimensional Phobie. This may sound like a stupid suggestion but do consider it for future updates
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We got Grey Alien and Blue Alien that uses teleporting, But their movement is under the Bypassing category.
