Factual error: Gipsy Danger's fist bumps into an office table as it screeches to a halt. The Newton's cradle on the table has an impossible reaction. All of the balls would simply sway in parallel, and not the 'classic' reaction displayed in the movie.
Plot hole: The Kaiju's EMP pulse fries all electrical circuits next to him, and affects the base as well. If that's true, how did the helicopters carrying Gypsy survive the blast without having their electronics fried? EMP pulses induce current in all electronics regardless of whether they're powered on or not.
Continuity mistake: When Gipsy Danger is lifted by the Kaiju in Hong Kong, they end up well above the clouds, and when Gipsy falls she eventually breaks through them. But in the shots when she is falling, you can see that there are no clouds around Hong Kong for miles. That, and Pentecost has a clear view of Gipsy through his binoculars.
If you listen to track 1 of the soundtrack, Gipsy Danger's signature horn can be heard at various points.
Stacker Pentecost: Today at the edge of our hope, at the end of our time. We have chosen to believe in each other. Today we face the monsters that are at our door, today we are cancelling the apocalypse!
Stacker Pentecost: Haven't you heard? It's the end of the world. Where would you rather die? Here, or in a Jaeger?