Most games have "one frame" engines, such as Turrican, James Pond, Lionheart, Jim Power or Zool. Only a few use "2 frame" updates, such as Banshee or Magic Pockets.
I'm not sure and I may remember wrong but some games might even have been "3 frame" ones. I think Magic Pockets was one that felt like running on a very slow FPS rate. The funny thing is that IMO sometimes a slower framerate may look/work better than a faster framerate, if the faster of the two is in a certain range. For example 25Hz framerate may look/work worse than 16Hz because of the way the jerky/non-smooth video update "feels" when seen. Doom was limited to 35 FPS which is a very evil framerate where some people can get motion sickness.
Some amiga games were also cheating somewhat in that they had only the scrolling (and usually the main player sprite) running at full frame rate while the real game or the rest of the game was only running at half the rate. Like several Team17 games.
Another game I remember is Midnight Resistance which to me looked like running in full frame rate although it didn't, because of the way the gfx/colors were chosen/painted.