Anti-TD is a fun take on Tower Defense games: you play the never-ending march of invaders, and the computer places the towers.
I’ve talked a lot in the past about how games can be symmetrical or asymmetrical. Symmetrical games are ones where the capabilities of the player are comparable to the capabilities of the opponent: tennis, Quake, chess. Asymmetrical games are ones where the player and the opponent have differing games to play. This latter form really flourished with the advent of computers, but examples do exist from prior; for example, baseball or cricket can be viewed as alternating rounds of asymmetrical gameplay, and board games like Fox & Geese are asymmetrical.
There’s a lot of interesting potential in reversing classic computer games. A long time ago I did a board game spin on the classic game Pengo, where other players took the role of monsters. The best known “reversed asymmetrical” computer game is probably the Dungeon Keeper series. Recent inclusions would be that new take on Pac-Man where some players play ghosts. But picture Tempest or Space Invaders where you play the aliens, or Lemmings where you are trying to kill ’em all, or…
One interesting thing the exercise quickly reveals is that we’re relied heavily on computers simply having infinite resources and patience, rather than smarts.