The Quest of Ki

Kai no Bouken: The Quest of Ki is a Puzzle Platformer game developed by Game Studio and released in 1988 for the Famicom by Namcot. It is the prequel to The Tower of Druaga.

The 60-floor tower had been destroyed by the god Anu, but it was rebuilt by Druaga. Ishtar gives her shrine maiden Ki a golden tiara but no weaponry in the quest to obtain the Blue Crystal Rod, with additional assistance provided by Quox the Dragon.

Tropes present in the game:

Badass Pacifist: Ki has no attack ability, but that isn't gonna stop her from climbing a demon-infested tower.
Doomed by Canon: Ki in the ending. Not to death, but Taken for Granite.
Extended Gameplay: Floors 61 through 100 can be played after the game's ending.
Inexplicable Treasure Chests: At least they're visible in this game.
No Fair Cheating: In The Quest of Ki there are items that warp the player to a higher floor. The 61st floor (the first of the "Special Stages") contains a warp item that warps you to floor 61 with a warning message: "I'll forgive you this time, but try that again and I'll warp you back to the first floor!"
- Level 100 delivers on the promise, at least in part, with a booby-trapped chest that sends the player back to level 19--as Arino discovered to his dismay.
Not Quite Flight: Ki's Jump Physics let her rise to any height so long as it's continuous and she doesn't hit the ceiling.
One-Hit-Point Wonder: Ki is really vulnerable.
Poison Mushroom: One kind of item makes the timer run out more quickly.
Spikes of Doom
Timed Mission
Video Game Flight