Some of the simplest games you can make are games like Pong, Snake, or Space Invaders (although that might be a bit tougher).
This really depends, however, on what you are using to make your game.
To give you some perspective, I started making games in a program called Alice 2.0 (if you look it up, you'll see that it was designed as a way to introduce kids to programming. It's actually now on to a 3.0 version that I never used). Alice 2.0 had a drag and drop commands interface for event-driven programming. It also had a 3d world where users could drag and drop items from a gallery onto the scene. It didn't support much in terms of graphics, but it was pretty great for building fun things. The simplest game I made in that was a tank combat game.
Contrast this with something like C++, an industry-wide used programming language. Now there are a ton of libraries out there to use with C++, but without any programming experience, the most basic thing you can make is something like pong, or snake.
These days, although I don't do much programming, I use the Unity engine or the Unreal engine. These are both proper game engines, and do require a knowledge of coding. However, since this isn't anything as bare bones as C++, the baseline bar goes up a bit. In Unity, without any scripting, you can make a basic world explorer (no gameplay, just an FPS character and a world to walk around in) using prefabs (Unity has a handy FPS explorer prefab) and whatever 3d models you have made.
The point is that the most basic thing really depends on what you are using.
Now I'm not super familiar with game-maker, and I assume you mean YoYo Games? It does seem to use some sort of scripting (from a cursory glance). I know more about Unity and Unreal though.
The question I have for you is how much programming are you willing to learn? It is entirely possible to create simple games without any scripting, using the right tools out there. The quality won't be great, and you'll have less control over the end result, but it is possible. I wouldn't recommend going that route, but you can if you really wanted to avoid scripting altogether.
