Here's the five I'm doing. Note that most of them also have some scaling with level, but the recharge mechanic is there because allowing them to be used every single turn would be broken.
Reckless Dweomer
Shunran Cantrip
Casting Time: 1 action
Range: Special
Components: V, S
Duration: Special
You tap into pure chaos to bring about a magic surge. Roll on the Wild Magic Surge table to see what happens. This cantrip must recharge after use.
At 5th level you may choose between the entry you roll or the one immediately before or after. At 11th level you may choose between the nearest two entries, and at 17th level you may choose between the nearest three before or after.
Bloodlace
Sodran Evocation Cantrip
Casting Time: 1 bonus action
Range: Personal
Components: V, S, M
Duration: Instantaneous
You channel a portion of your lifeforce into the next spell you cast causing it to be cast at one level higher than normal. You lose 1d6 hit points. You may exceed your normal casting level by one, but if you do so you lose an extra d6 hit points.
This cantrip must be recharged after use.
Loss of life – The hit point loss is a reduction of your maximum hit points and cannot be recovered until you take a long rest.
At 5th level you may increase spells by two levels at a cost of 2d6 hit points, at 11th level by 3 levels at a cost of 3d6 hit points, and by four levels at a cost of 4d6 hit points.
Freezing Pulse
Balcran Transmutation Cantrip
Casting Time: 1 action
Range: 30’
Components: V, S
Duration: 1 or 2 rounds
You propel an icy projectile at a foe. Make a spell attack roll and if you hit the foe suffers an effect that scales with level. At 1st level the foe is incapacitated and can’t move. At 5th level they are stunned. At 11th level they are paralyzed. The effect lasts 1 round until 17th level when the duration increases to 2 rounds. This cantrip must recharge when used.
Reflect
Valran Abjuration Cantrip
Casting Time: 1 reaction
Range: Personal
Components: V, S
Duration: Instantaneous
You attempt to redirect a spell that requires a ranged attack roll back at it’s caster. You forgo the requirement that the caster hit you with his spell attack (attempting to reflect implies you step directly into the spell’s path) and instead make a saving throw with your casting ability against the spell. You must beat the spell DC by four and have a character level sufficient to cast the spell to redirect it back at the caster, otherwise you just deflect it harmlessly to all if you succeed. Once you reflect a spell the cantrip must recharge.
Vine Tendrils
Aboran Conjuration Cantrip
Casting Time: 1 bonus action
Range: Up to 100’
Components: V, S
Duration: 1 action or Concentration.
You conjure vine tendrils which reach out to grapple foes and objects. The shorter the range selected the more powerful the grasping effect. At the longest range, 100’, the vine acts as a rope sufficient to support up to twice your weight and you can climb up it with advantage on the checks. It persists while you concentrate. The vines can also be used to grapple at ranges of 50’ or less. Against foes you make an attack roll to hit them and if it succeeds they are grappled until your next turn. At ranges of 25’ or less you can choose to reel in foes that you successfully hit if they fail a strength saving throw. You may also grapple immobile objects at ranges up to 50’ and swing with the vines to another point up to 100’ away, depending on the location of the anchor point and the swing arc. If you do this in combat it replaces your movement for the round When you grapple with the vines they must recharge.
Recharging – After using a recharging cantrip during a combat you roll a d6 at the start of each of your turns. If you roll a 6 the spell recharges and can be used again. At 5th level the spell recharges on a roll of 5 or 6. At 11th it recharges on a roll of 4-6. At 17th level it recharges on a roll of 3-6.