Lost Judgment

Arcade games can be found at multiple places in Kamurocho and Ijincho at the arcades. Some arcade games are repeated between locations, and if they are you only need to play them once at one of the locations they are available at. You do not have to fully play the games you can start it up hit start and then you can exit the game which will earn you SP. The arcade games are as follows:

Ijincho:

Club SEGA (Chinatown):
Hama of the Dead
Space Harrier
Super Hang-On
Virtua Fighter 5 Final Showdown

Sasaki Arcade:
Fantasy Zone
Fighting Vipers
Motor Raid
Sonic the Fighters

Kamurocho:

Club SEGA (Theater Square):
Motor Raid
Space Harrier
Super Hang-On

Club SEGA (Nakamichi St.):
Fantasy Zone
Fighting Vipers
Sonic the Fighters
Virtua Fighter 5 Final Showdown

If you do not have the achievement after doing all those minigames try playing the UFO catcher machine in any of the arcades my achievement unlocked after doing that.