MAME is a multi-purpose emulation framework.
MAME’s purpose is to preserve decades of software history. As electronic technology continues to rush forward, MAME prevents this important “vintage” software from being lost and forgotten. This is achieved by documenting the hardware and how it functions.
Over time, MAME (originally stood for Multiple Arcade Machine Emulator) absorbed the sister-project MESS (Multi Emulator Super System), so MAME now documents a wide variety of (mostly vintage) computers, video game consoles and calculators, in addition to the arcade video games that were its initial focus.
MAME Game list
Having researched Mame for the Wii the developers say it has a tendency to crash on game exit due to Nintendo security, so you have to press the reset button on the front of the Wii.
This is normal as all the emulators were created by home programmers.
Full details https://wiibrew.org/wiki/MAME_Wii