Monitors are usually laid back at a 45 degree angle (Pac cabs, and many others), or straight up and down (Williams cabs, Centuri cabs, SNK cabs, and many others). Very few seem to deviated from these two basic designs.
I can't think of any game with a monitor that leans forward. Simplest design is straight up and down with a monitor shelf. That is fine for most monitors. But if you have a big monitor, then you really need to get some space between your face and that screen, either by having a big control panel, or by laying the monitor back, or by doing both.