Movies taking digs at each other

In Godzilla, Mothra and King Ghidorah: Giant Monsters All-Out Attack, there is this small bit of dialogue:

General Tachibana: Monsters resembling Godzilla have been seen in the United States...
Soldier one: Wasn't that Godzilla?
Soldier two: The Americans said it was Godzilla, but all the Japanese scientists denied it.