IIRC, there was a really neat looking FORTH for the C64 focused on game programming: White Lightning[0]. oh - it runs on Zx80 too... I always wanted to play with it as a kid, but never got around to it :-/
White Lightning is essentially a big library of graphics routines written in assembly that loads into RAM. They can be used from BASIC or from the included Forth. There are versions for the C64 and ZX Spectrum. It can handle up to 255 software sprites.
There were a few things written in Forth for the Atari 8-bits, most notably RAMbrandt and Omnitrend's Universe. I don't recall any action games in Forth.
Forth (according to sources I have not verified) powered the influential CRPG series of Stuart Smith: Fracas (1980), Ali Baba and the 40 Thieves (1981), Return of Heracles (1983), and Adventure Construction Set (1984). All were multi-platform releases. If true, Forth was a good fit for that, since it would function as the game's scripting environment as well as the engine, and it would additionally explain why those games feel like more developed scenarios than contemporary rivals.
Action games needed tighter main loops for gameplay so my understanding is that where Forth was used for those, it was primarily as a macroassembler system.
I am exploring Forth for Agon Light right now. Since the Agon is a modern 8-bit design swaggering around with an eZ80 at 20MHz, 512kB RAM, and a programmable VDP with functions resembling GPU shader programming, it can absorb all the interpreter overheads easily.
0: https://www.forth.org/lightning.html