Musaigen no Phantom World, Mob Psycho 100 Recommendations
1) The story occurs in a world filled with phantoms
2) The main character uses super-powers to fight the phantoms that cause trouble
3) The characters go to high-school
4) Near the end of either series, the characters fight against a large organization doing illegal acts.
5) The characters are paid / hired to fight phantoms
6) The lead male character has a weak-phantom companion / friend