Customers at Aiiro Cafe, a bar in Shinjuku Nichome, Tokyo’s largest gay neighborhood. Japan is the only nation in the Group of 7 that has not legalized same-sex unions. Credit...Noriko Hayashi for The New York Times To millions of Japanese, the Shinto faith is not so much a spiritual practice as a cultural one. Every January, crowds gather at shrines to pray for good fortune for the new year. Fami