Mind Control (specialized) – The ability to only control a special population and/or there is some limit to the mind control.
Charma Drisden (DC) can make men fall in love with her but women automatically hate her (Superboy starring the Legion of Super-Heroes #221).
The Night-Touched Controller can only control supernatural beings (Creature Collection II. Dark Menagerie).
Judge Dredd faces a mutant who can control children in “Mad City” – 2000 AD #1052.
Mentalla (DC) can manipulate subconscious actions in Who’s Who Update ’87 #4.