Check out the Japanese trailer for the third movie in the animated series with Godzilla: Planet Eater (formerly Stareater).
The two previous movies, Godzilla: City on the Edge of Battle and Godzilla: Planet of the Monsters, are currently on Netflix (and are so-so at best).
Godzilla: Planet Eater will feature some form of King Ghidorah and premiers in Japan on November 9; expect the English-dubbed version on Netflix shortly after.
Here is the description:
20,000 years into the future, the Earth is ruled by Godzilla. Pitted against him are the straggling remnants of the human race. The final chapter, GODZILLA:The Planet Eater, finds the Mechagodzilla city, the peak of scientific evolution and mankind's best hope, burned to cinders. Godzilla Earth reigns supreme but he has one more challenge: the winged creature, KING GHIDORAH.