Movies You Haven't Seen But Should: Yaji and Kita: The Midnight Pilgrims

Wiki:

Yaji and Kita: The Midnight Pilgrims (真夜中の弥次さん喜多さん, Mayonaka no Yaji-san Kita-san) is a 2005 Japanese film directed by Kudo Kankuro. The film stars several well-known and highly respected Japanese actors.

The story follows two Edo-era gay samurai, Yajirobei (Yaji) and Kitahachi (Kita), on a pilgrimage to Ise Shrine. It is loosely based on the Tōkaidōchū Hizakurige.

Yaji and Kita are samurai who live in Edo. They are deeply in love. Yaji is married to a woman, while Kita is addicted to various drugs.

One day, they receive an advertisement for the Grand Shrine at Ise, and decide to set out on a pilgrimage there, hoping to cure Kita of his drug addiction. They set out on a modern motorcycle but are forced to turn back and walk the Tōkaidō road to Ise, encountering various characters and obstacles along the way.

[Yaji and Kita: The Midnight Pilgrims on the IMDB]