Updating the representation list from a while ago.
Series mainly represented by playable fighters: PAC-MAN, Sonic the Hedgehog, Tomb Raider, Resident Evil, Space Invaders, Centipede, Dragon Quest, Street Fighter, Crash Bandicoot, Halo, Digimon, Team Fortress 2, Minecraft, Mortal Kombat, Diablo, Parappa The Rapper, Puyo Puyo.
Series mainly represented by stages: Asteroids, Missile Command, Adventure, Minesweeper, Daytona USA, Oregon Trail.
Series mainly represented by Assists: Pong, FNAF, Among Us, Snake.
Series mainly represented by Items: Galaga, Mattel, Final Fantasy, Ape Escape, Contra, DOOM, FIFA, NBA Jam, Castlevania, Nier, Perfect Dark, Half-Life, Bugsnax, Beat Saber, Guitar, Fortnite, Quake.
Series mainly represented by Bosses: Soul Calibur, Sinistar.
Series mainly represented by Music: Capcom vs, Defender, Bubble Bobble, Arkanoids, Elevator Action, Atari Karts, Yars Revenge, Breakout, Atari 2600, Chip's Challenge, 3D Space Cadet Pinball, Full Tilt!, Hover!.
Series mainly represented by Tokens: Speed Race, Darius, Pocky and Rocky, The Ninja Warriors, Time Gal, Cleopatra Fortune, Operation Wolf, Legend of Kage, Sonic Blast Man, NewZealand Story, EXIT, Galahad, Boxing, SwordQuest, Berzerk, Crystal Castles, Haunted House.
Series represented by other stuff via technicality: Dig Dug, Flicky.
Gaming collections represented in some fashion: Namco Museum, Atari 50.