How to change the graphic display of the gameplay?

Question

Game development

There is not enough knowledge about how to make everything that happens in the game before entering the display change as one.
I saw something similar in the game Kung Fury (I highlighted it with arrows on the screenshots (Beta and release).
I need to understand what this distortion is, and the general principle of how to work with it. (If you like: in any development environment)
please tell me what to do, probably everyone has come across such a problem

Answer 1

Of course, excuse me, I'm an adult and an educated person and usually I don't allow myself this...
but even I yelled from the topic xD