Hitozuma Sentai Aisaiger

Main character is equipment salesman now even though he used to be masked superhero enthusiast as a student. One day he picks up a strange card case full of blank cards. These cards turn out to be "Holga Card", a cosmic treasure that grants humans delusions in the form of reality. Magic Star Cluster Darakuza starts invasion to the Earth to find the cards.
Protagonist meets a masked superhero girl who asks him: "Do you believe in heroes?"

[From vndbreview]