Labyrinth: Maou no Meikyuu

The game is an adaptation of the 1986 movie from LucasFilm (yes, the guys behind the Star Wars saga) which is named the same as this, starring Jennifer Connelly and David Bowie as main actors. Most of the gameplay mechanics were inspired by The Legend of Zelda, timer here acts as the player's health though.

Plot (from GiantBomb): 'Connelly's character Sarah must emancipate her infant brother from Jareth the Goblin King (Bowie) before a thirteen hour time limit expires.'

In this longplay I get almost all items (including all upgrade coins) as well as the 5,000 point spots.