I feel like the boxer is a two-frame animation that has received a bit of in-between frames, but I don't see a relationship between what the legs do and what the fist does. It does the job of showing "a punch" if the context of a boxing match is established, but I'm not sure I'd have guessed it without that context. The overall body motion could likely have been clearer and more coherent.
As for the gun-dude, I suggest you remove the flashing background if you expect any critique on it.