It sounds like you’re looking for a of The King of Fighters 2002: Magic Plus 2 that does not require a separate emulator (like MAME, Kawaks, or RetroArch) to run on Android, and you want it to be free and with a fixed or stable version.
Open the app. If everything is "fixed," you should see a menu with "Arcade Mode," "VS Mode," and "Team Play." standalone APK It sounds like you’re looking for
Botones configurables en pantalla que responden mejor que las versiones antiguas. or RetroArch) to run on Android
: Upon first launch, you may need to map the "Coin" and "Start" buttons to begin playing. Safety and Legal Note " "VS Mode