The c64's bitmap mode could either be 320x200 with color allocated in an 8x8 grid, much like the Speccy, or 160*200 with three selectable colors per 3x8 block, plus one background color shared across the whole screen.

It did, however, also have sprites, which could float over or under the main screen.

(If you're willing to dedicate pretty much all of the CPU time to flipping stuff around while the video chip is rendering the screen, you can have finer-grained color selections on the c64, but that's mostly the domain of demos.)

last I checked, you had 2 possible colors due to attribute cells.