Godzilla-kun
Platform: MSX
Region: Japan
Media: Cartridge
Controller: Keyboard
Genre: Platformer > Puzzle 
Gametype: Undefined
Release Year: 1985
Developer: Toho
Publisher: Toho
Players: 1
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Godzilla is a puzzle solving platform game in which you control the radioactive dinosaur Godzilla who is searching for his love interest Minira, a female dinosaur.

In this game with 49 levels you have reach one of the two level exits that will appear when all rocks are smashed.
While climbing the vines to reach the various platforms and trying to smash the rocks you are chased by various types of monsters.

Occasionally, when you smash a rock an item will appear. Smashing an item will activate it.
Once all rocks have been smashed two screen exits appear. Choose one of the two and enter the next level.
Keep in mind that in order to reach an exit you have to smash the rocks in a particular order because if you don't you'll get stuck.
 
http://www.mobygames.com/game/msx/godzilla