Fake 3D 2D dungeon crawl is one of the best game styles.
How does it work? You'd need to draw the templates for all the room/hall views. Doors or any other objects can be separate images that you put in at as objects floating over the background. You'd need to define a grid of rooms as a map and set four images per room to correspond to the four cardinal directions. If your player is navigating by keyboard, you need to use their left/right presses to update a variable that you use to determine which way they're facing/which view to display. What would you get it you started with "Facing North" as 0 and called a left turn +1, a right turn -1? Turning left: North: 0, West: 1, South: 2, East: 3. Turning right: North: 0, East: -1, South: -2, West: -3.
So if you're facing South and you got there only by turning left, the variable is 2. If you want to turn right, it subtracts 1 and the variable is 1. You're facing West as you should be. If you ever get to 4 or -4, you need to reset it to 0. You'd need to create some means of translating this variable's output instead of using it directly, because you'd have two numbers for every direction. If it's 0, you're facing North. If it's 1 or -3, West. If it's 2 or -2, South. If it's 3 or -1, East.
That's an example of a simple solution that might work, or might be a start anyway. You can see if you can build something like that in a game making program. Maybe not RPG Maker, 'cause RPG Maker is designed to help you make Dragon Quest clones and getting it to do anything else seemed needlessly convoluted to me. Figuring out how to code your own stat/battle system would take more time than using a prefab one but the flexibility you'd gain by doing so would be invaluable.
-=IT WOULD ALSO BE POSSIBLE=- to translate the sterile sparseness and simple geometry of that tape cover into a style you could use in RPGM and that would be the fastest way to throw some pictures and sounds and words together and finish a project. You'd want to look at what RPGM is designed to do and just accept that as your toolset instead of trying to break it on the first go round. You can always do another one if you don't get everything you wanted into the first one.