Here are the list of games for The Simpsons by date that is based on the 1989 TV show "The Simpsons".
1991
The Simpsons Arcade Game - Arcade, Commodore 64, MS-DOS
The Simpsons: Bart vs. the Space Mutants - NES, Sega Master System, Amiga, Amstrad CPC, Atari ST, Commodore 64, ZX Spectrum
Bart Simpson's Escape from Camp Deadly - Game Boy
The Simpsons: Bart vs. the World - NES, Sega Master System
1992
Bart's House of Weirdness - MS-DOS
The Simpsons: Bart vs. the Space Mutants - Sega Genesis, Game Gear
Krusty's Fun House - MS-DOS, Game Boy, Game Gear, Sega Genesis, NES, Sega Master System, SNES
The Simpsons: Bart vs. The Juggernauts - Game Boy
Bart's Nightmare - SNES, Sega Genesis
Bartman Meets Radioactive Man - NES, Game Gear
1994
Virtual Bart - SNES, Sega Genesis
Itchy & Scratchy in Miniature Golf Madness - Game Boy
1995
The Itchy & Scratchy Game - SNES, Sega Genesis
1997
The Simpsons: Virtual Springfield - Windows, Macintosh
2000
The Simpsons Bowling - Arcade
2001
The Simpsons: Night of the Living Treehouse of Horror - Game Boy Color
The Simpsons Wrestling - PS1
The Simpsons Road Rage - PS2, Xbox, GameCube
2002
The Simpsons Skateboarding - PS2
2003
The Simpsons Road Rage - Game Boy Advance
The Simpsons: Hit & Run - PS2, Xbox, GameCube, Windows
2007
The Simpsons: Minutes to Meltdown - Mobile
The Simpsons Game - PS2, PS3, PSP, Xbox 360, Wii, DS
2009
The Simpsons: Itchy & Scratchy Land - Mobile
The Simpsons Arcade Game - iOS, J2ME
2012
The Simpsons Arcade Game - PS3, Xbox 360
The Simpsons: Tapped Out - iOS
2013
The Simpsons: Tapped Out - Android, Kindle
2015
LEGO Dimensions - PS3, PS4, Xbox 360, Xbox One, Wii U