I saw an Egyptian article that says that some Egyptians claim that the gravesite of Benjamin, son of Jacob, is in the west side of Cairo.
According to the article, residents around the building (which is naturally a mosque) have egarded the site as sacred for decades. The Egyptian government has never officially recognized it, though.
The sign on the room that supposedly contains the tomb says "Here lies our master Benjamin, the brother of our master Joseph."
Interestingly, the Arabic article calls Joseph "Joseph Siddiq" which I believe is cognate with his Hebrew appellation, Yosef HaTzadik, or "Joseph the Righteous."
Pilgrims come from India and Iran and some Gulf countries besides Egypt. Residents say that some Jews come there as well.
There is no tradition in Hebrew scriptures as to where Benjamin is buried. The midrash in Sefer HaYashar says he was buried in Jerusalem.
But there is a site in Israel in Kfar Saba that is claimed to be Benjamin's gravesite:
