Cabbage Patch Kids
Platform: MSX
Region: Japan
Media: Cartridge
Controller: Keyboard, Joystick
Genre: Platformer 
Gametype: Undefined
Release Year: 1984
Developer: Konami
Publisher: Konami
Players: 1 - 2
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Your player is a Cabbage Patch kid with pigtails who is having a day at the park. A day that includes jumping onto vines and leaping over holes and bouncing onto correct platforms. A misplaced jump will lose a life and additionally there are a few creatures such as bees who end the player's turn when touched.

There are several screens of challenge with different combinations of obstacles.
 
http://www.mobygames.com/game/msx/cabbage-patch-kids-adventures-in-the-park