@CarltonBanks: I would start by looking at this github project as it in an excellent example of a system that mimic’s the one used for EarthBound’s battle backgrounds.
I’m not familiar with how things work with Game Maker Studio 2, but there should be some way to code up something similar.
Alternatively, there has been some talk of creating a background system that uses shaders to accomplish the same effect, but I don’t know of any completed examples of this.
@RGGames, this is inaccurate. Game Maker is not just a program, it is a game engine.
It is common for people to refer to partial projects, libraries, or other game systems that are prebuilt for a specific engine as engines, but that is a bit of a misnomer, especially when compared to general terminology used in the games industry.
So CarltonBanks has it right. The engine they are using is Game Maker Studio 2.