Lemme try to get these thoughts down before they scatter completely. Worked out pretty well in my head as I was waking up/half-asleep, now it's starting to fade/don't have all the details...but it went something like this...and seems to address those that want psychic powers to not just be "relabeled spells/magic"... though that may also just be in my head...well, here it is and see what you think...
Class: Psychic.
At 1st level: You get to pick as many "0 level psychic abilities" [I'm thinking it's 3?] as a wizard has cantrips at 1st level. You can use them at will. There are no "power points". You have these three abilities, say of a list of 10 or 20, of comparable power to wizard cantrips.
At 1st level: You select a Minor Talent to begin with at 1st level, and add one for each level up after. The Minor Talents are equivalent to 1st (maybe 2nd) level spells, and are composed of across the board psychic powers: low level telekinetics, low level mind manipulation, low level clairsentience, etc... I am inclined to say Minor Talents would be reusable after a [minimum] short rest.
At 3rd level: The Psychic must choose an Archetype: Clairvoyant, Telepath or Telekinetic. This grants them a series of powers, related to that discipline, as the Wizard Traditions or any other "sub-class" selection. They continue to gain Minor Talents (the presumption being once entering their archetype, most minor talents chosen as they level up will include more leaning toward their discipline), as normal. I would be inclined to say that Major Talents are not usable again until after a long [minimum short] rest.
At 5th level: The Psychic may choose a Major Talent from the list specific to their discipline: Telepaths choose Major Telepathy Talents, Clairvoyants choose Major Clairsentience Talents, Telekinetics choose Major Telekinetic Talents.
Now, the question comes in with the talents, are they all at will powers
OR
Would a table/chart, as used by, say half-casters be better/more enjoyable, as assigning Minor/Major Talent uses per day...adjusted with, I'm going to say Cha. mod. times per day. Such as...
Psychic Level. . . .At will Powers. . . .Minor Known/Use per day. . . .Major Known/Use per day
1st . . . . . . . . 3 [+ Int./Cha. mod?] . . . .1/2 . . . . . . . . . . . . . . . . . . . . . . . -
2nd . . . . . . . . . . . . . 3 . . . . . . . . . . . . 2/2 . . . . . . . . . . . . . . . . . . . . . . . -
3rd . . . . . . . . . . . . . 4. . . . . . . . . . . . .3/3 . . . . . . . . . . . . . . . . . . . . . . .1/1
4th . . . . . . . . . . . . . 4. . . . . . . . . . . . .4/3 . . . . . . . . . . . . . . . . . . . . . . .1/2
5th . . . . . . . . . . . . . 5. . . . . . . . . . . . .5/3 . . . . . . . . . . . . . . . . . . . . . . .1/2
6th . . . . . . . . . . . . . 5. . . . . . . . . . . . .6/4 . . . . . . . . . . . . . . . . . . . . . . .2/3
7th . . . . . . . . . . . . . 6. . . . . . . . . . . . .7/4 . . . . . . . . . . . . . . . . . . . . . . .2/3
8th . . . . . . . . . . . . . 6. . . . . . . . . . . . .8/4 . . . . . . . . . . . . . . . . . . . . . . .2/3
9th . . . . . . . . . . . . . 6. . . . . . . . . . . . .9/5 . . . . . . . . . . . . . . . . . . . . . . .2/4
10th . . . . . . . . . . . . 6. . . . . . . . . . . . 10/5 . . . . . . . . . .. . . . . . . . . . . . .3/4
Or, there's always power point systems to control the amount of stuff they can do in a day.
So, example powers would be stuff like a "ray of frost/mage hand/detect magic" equivalent: Mental Stab: does d4 psychic damage and save or be stunned for 1 round; Mind Shield: auto resistance to psychic damage (requires concentration?); Aura Read: detect magic, charm, possession/shapeshifted creatures, good or evil; Empathy: detect lie/emotional states; Push: force a save or be moved 5'?; Friends; etc. etc.
Minor Talents could be stuff like: Read Object/Area [thought capture], Detect/Mask Thoughts, Move Object [5lbs. per level?], Shield, Floating Disc, [Telepathic] Sleep/Charm Person/Forget, Hold Person [to be fluffed as telepathic paralysis or telekinetic "hold"], etc...
Major Talents: full two way Telepathic communication/telepathic bond, Telepathic Invisibility (masking one's presence in the minds of others/blocking their brains from, literally, seeing you), Telekinetic forcefields ("resilient orb/globe of invulnerability"), Telekinetic Levitation/Flying, Astral Projection, Speak with Dead/Medium stuff, AoE attacks and defenses, etc...