Godzilla: Monsters Attack is the English name of the recently released fan translation for Godzilla: Kaijuu no Daishingeki, a 1995 strategy game developed by SIMS Co. and published by Sega for the Sega Game Gear.
The game features five different stages, each of which are based on different Godzilla films, such as Godzilla vs. Gigan, Godzilla vs. King Ghidorah, Godzilla vs. Mechagodzilla II, and more. In each of the stages, there are special events that reenact the events in the movies that you need to trigger with the right requirements.
Check out some screenshots:
Godzilla: Kaijuu no Daishingeki was originally released for Sega Game Gear.