I can't find the kind of animations I'm looking for on Mixamo. Is there away to request them?

You might try different search terms:
Try:
"Dizzy Idle"
"Magic Spell Casting"
"Magical Heal"

• no there is no way to add to the animations... they are all under the same old licence
• i'm a little unclear what a "hypnosis" would even look like but it doesn't sound like something lots of people need so prob best just to make them yourself or ask a pro for