Atlantis no Nazo (Mystery of Atlantis) is a Famicom game by Sunsoft
Despite its clunky control it's a fascinating piece of software. It's full of obscure secrets, bizarre levels—and it's bloody hard. It is, at least, worth watching a speedrun, even if you don't have the patience to play the game.
Activision worked on an English version, turning it into a sequel to the unremarkable Super Pitfall. It was never released, but a ROM is available online. There are some differences, including the removal of powerups.
You can read more about the English version at Dream and Friends, which also has the ROM for download.