As an extension to this, what about psionics in general? I'm talking about more than telekinesis -- a "psi-blade" so to speak, or psionic "shields" (to block e.g. telepathy, but not physical things) or empathic abilities (transmitting physical/emotional feelings), or hive-minds as a few examples. Would these all be considered spells of some variety?
Psi Blade: Touch range Damage Health would cover this. Damage Health is raw magical damage, which seems close to the sort of damage a psi-blade would inflict. Add a plain old Shield spell to the mix if you want to 'parry' with your shiny touch-range spell effect. Mind you, you'll be spending magicka on every swing, even if you miss.
Psionic Shield: Reflect/Absorb/Resist Magic. If Psionics are spells, then standard spell defenses work.
Empathic Projection: Calm/Frenzy/Rally spells. Illusion school is very much about manipulating another person's perceptions and emotions. Bonus points: Command spells for Jedi Mind Tricks
Hive Minds: That one you're on your own, I'm afraid. I'm allergic to hive minds
Perhaps the Daedra could help you there ...
As for reading minds ... I don't recall too many canonical instances of mind-reading happening in the games, but my memory isn't perfect. My own sense is that, for Tamriel, the flavor of Strange and Unearthly Powers is Magic, not Psionics, but I've also been known to intrepret the exact flavor of the magic to my own taste.
Hope this helps,
Loranna