We thought that being paralyzed would obviously give someone telekinesis; I didn’t guess body swapping. For someone severely autistic, our best ideas were a way of communicating (an avatar that translated Amber’s needs to her caretaker) or a type of matter manifestation (whatever she needed would appear, so she’d never have to communicate if she were hungry/lonely/etc. - “cheeseburgers and kittens would just show up.”)
Schizophrenia - our best idea for an adaptation/ability was a supernatural insight into patterns. They could compare their impression of the world with a meta-function that determined whether, e.g., the person they thought was following them was likely to actually be an enemy spy. They could see conspiracies, security flaws, emerging trends that could lead to tragedies, and could be comforted if their powers confirmed that none of those were targeted at them. (My first idea was an objective touchstone to reality, like a database their mind could access that could look up what was thought to be “real”; while useful, it’s not as applicable as a superpower.)
For people with anxiety or PTSD, a protective bubble is a nice thought, or @FairyGodfeather’s time-skipping idea sounds like it would help. But it seems a bit too practical, like it would help if the fear were rational, but a bulletproof shield won’t necessarily stop a panic attack. The best thing I could think of for acute panic is a heightened “flight” response: teleportation. It would be soothing to know that if I were terrified or in danger, I could literally blink to a safe place in an instant. I don’t know whether the long-term effects on my prognosis would be positive, but that’s one of the fascinating things about this concept.
People with Developmental Coordination Disorder - rather than their neurons telling their muscles to move, their powers would animate them, causing perfect grace and feet that sometimes don’t touch the ground.
Language disorders - Someone with synesthesia could have music playing or colors appear as they talk, to demonstrate to their listener how they experience their own words. Someone with severe aphasia could start speaking in pictures.
Progressive dementia or amnesia - The ability to store memories externally. Memories would be like snow globes, and could be watched and remembered at will.