I like to use it as a benchmark while developing the CPU. E.g cache performance and branch predictor performance is so much more interesting in the context of a full game, rather than some boring synthetic benchmark.
The reason for the title, though, is that I have not seen many instances of Quake running on an FPGA, in any form (Doom is fairly common, but not Quake).
However there area few interesting projects on the aame theme:
* Quake level viewer with a custom GPU and a RISC-V soft processor: https://twitter.com/sylefeb/status/1564758778830065666
* A pretty fast general purpose GPU on an FPGA that can display Quake (FuryGPU): https://www.youtube.com/@dbarrie/videos