I'm sure I've forgotten about more games than I can remember, but my time begins with the early handhelds, from Mattel, Nintendo (Game & Watch), Tomy, Bandai, and others. Now I only play some games on iOS more casually.
Otherwise, lessee:
Arcade (vector) - Asteroids (of course, and there was a similar one where two ships were tied to each other), Tempest, Battlezone, Star Castle, Lunar Lander, Star Wars
Arcade (raster) - Defender, Stargate, Donkey Kong, Robotron, Dig Dug, Joust, Zaxxon, Rampage, and later, Hard Drivin', F355 Challenge
Atari 2600 - Adventure (hitch yourself to the bat and have it fly you around the castle), Combat, Breakout; but things didn't really get good until Activision came around, and elevated the scene with Pitfall, River Raid, Kaboom!, Grand Prix, and others. There was another fortress/defending game where each player had a corner they had to lob and defend against cannonballs or something like that. Many more I can't recall.
Never really got into the newer consoles, but did buy a PSX for Gran Turismo 1 and 2 (with the bugfix disc), Colin McRae, and an Xbox 360 for Forza. Mostly the driving games, but there are a few others.
Apple ][ - Got hooked by Ultima, and from then on, Aztec (which loved to grind the disc drive), Choplifter, Rescue Raiders, Star Blazer, Bruce Lee, Karateka, Dino Eggs, Bilestoad, Hard Hat Mack, Burger Time!, Lode Runner, Hardball!, and some lunar rover game I forgot the name of. Except for Ultima, never got into the games like Wizardry, or Zork. Back when EA was a company you could admire, and Broderbund also published top quality stuff.
Mac - Dark Castle, Maelstrom (Asterioid clone), Apeiron (Centipede clone), Rescue!, Dark Forces, Vette!, Carmageddon, IndyCar (Papyrus), Falcon, SimCIty, SimAnt, and Tetris (never liked the GameBoy version).
iOS - Real Racing (before EA bought the developer and ruined it), Pocket Tanks, Alto's, Egg Inc., Two Dots, Mini Metro, a couple from Donut Games. Recently got into Retro Bowl, but the ones I highly recommend are the Space Marshals series. There is DLC, but none of the IAP garbage. Gameplay is fantastic, replay value is high, and just very well-produced overall, with some humor as well.
I won't buy into the IAP model and avoid most games that have it, unless proven exceptional, and don't play enough to justify a modern console, especially when games can be crippled if they aren't connected to remote servers. That may be how the business runs now, and folks are used to it, but I don't have to support it.