I'll keep this list consistent and expand it as we go.
Clans / Places
Zenji clan / Zen temple family / Zen monastery / Zen temple residence / Zen Temple family / Zen temples / a Zen temple
→ Zenin family / Zenin clan / Zenin estate (Kyoto)
Zen-in residence / Zen-in family residence
→ Zenin estate
Zen temple fan's house / Zen Temple Fan's courtyard / house where the Zen temple fan is located
→ Zenin Ogi's residence / Zenin Ogi's courtyard
Vocational high school / sorcery school / jujutsu school (for sorcerers)
→ Tokyo Jujutsu High (Jujutsu High)
Fuheishen's courtyard / Fuheishen's house
→ Zenin Toji's courtyard / Zenin Toji's house
Canon Characters
Zenji Naohito / Zenji Naotoshi / Zenji Naoto / Zen monk Jigupta / Zen monk Zhiji / Zenji Chikuhito / Zenji Naoki / Zenin Jiro / Zenin Naobi
→ Zenin Naobito (Naobito Zenin, current clan head)
Zenji Sen / Zen-in Sen / Zen temple fan / Zen Temple Fan / Fan / Zenin Sen / Zen-in-sen
→ Zenin Ogi (Ogi Zenin, Maki & Mai's father)
Zenji Shinichi / Zenin Shinichi / Zenji Jinichi / Zenin Jinichi / Zenin Jinji
→ Zenin Jinichi
Shen Er / Shen'er / Shen er / Shen Er (she/he) / that guy with no techniques / Mr. Shen / Teacher Shen
→ Zenin Toji (Toji Zenin, no cursed technique)
Mayi
→ Mai Zenin
Maki (already canon form)
→ Maki Zenin
Six-Eyed Family / Six-Eyes family
→ Gojo family (Six Eyes)
Gojo Satoru / that brat from the Six Eyes family / that brat Gojo Satoru
→ Gojo Satoru
Sukuna / Su Nuo (when it appears)
→ Ryomen Sukuna (Sukuna)
Original Characters
(All of these refer to your OC protagonist and should always be unified to the same name.)
Zenji Qing / Zen Temple Qingyi / Zen Temple Qing / Zen Monastery (when referring to MC) / Zenjiro Kiyoshi / Zenjiro / Zenji Sei / Zenin Sei / Zen-in-kyō / Zen-in-shiki / Zenji Qinghuan / Zenji Seina
→ Zenin Kiyoshi – OC transmigrator protagonist.Curses / Techniques / System Terms
magical energy / magic power / mana / spell power / total spell power
→ cursed energy / total cursed energy
magic (as ability) / sorcery (combat)
→ cursed technique
level three cursed spirit / level 3 cursed spirit
→ Grade 3 cursed spirit / Grade 3 curse
level two cursed spirit
→ Grade 2 cursed spirit / Grade 2 curse
Unlimited Spell Power / Unlimited spell power
→ Limitless
Six Eyes ability / 10% of the Six Eyes ability
→ Six Eyes (keep meaning, just canon name)
System / Meta Formatting
Favorability message format (meaning only; wording stays as in your text):
"[Name]'s favorability +X, current favorability: N/100 (descriptor)."
Ability bonus line from Chapter 1:
"Current bonuses: Unlimited Spell Power 10%, Six Eyes 10%, Total Spell Power 10%"
→ "Current bonuses: Limitless 10%, Six Eyes 10%, total cursed energy 10%."