The Austin Powers films stand on a lot of firm ground: they're a completely self-sustaining franchise (new work); they're a lampoon of James Bond films (parody); and a lot of their jokes are satirical references and shout-outs. You *are* allowed to say "McDonalds" instead of "McDougals"; Family Guy does the direct parody thing a lot, and Space Balls took it up to 11 with the Planet of the Apes reference.
Notice that Austin Powers wasn't "James Bond in: I am a Frozen Retard Popsicle." Likewise, the Godzilla joke you showed dispels all trademark confusion issues (the legal crux of media IP) by lampooning international copyright law. These aren't just James Bond rip-offs and Godzilla showing up in a movie; unlike the Metal Gear, Megaman, and Star Wars fan movies that claim to be MG and Star Wars, and could easily be mistaken for an official production because... well... they happen in-universe with the same characters.