There is no such thing as a penis museum.

Apparently, there is a one official and renowned penis museum in the world.

The Icelandic Phallological Museum (Hið Íslenzka Reðasafn)

The world’s only genuine penis museum, The Icelandic Phallological Museum, is dedicated to collecting, studying and presenting actual phalluses.

There is also The Phallic Café & Bistro next to the museum.

“I was never interested in collecting stamps!”
— The Owner