There's always sound or image generation, or programming a game like Pong. That's always looked cool to me. There are some "easy" entry points, e.g. https://maker.pro/arduino/tutorial/getting-started-with-fpga..., but I've never gone as far as actually try them.
With a bit of luck, someone will reply with better options.
The Cypress PSoC might be of interest. It's a combination FPGA and microcontroller, the low-end demo boards with USB programming get as low as ~$10.
Though most of what you can do with the FPGA would be covered by built-in timer/capture modules or the PICO PIO modules on other chips (though IIRC, some of the boards have analog support in the FPGA if you wanted to do real-time audio processing). I have not found a particular hobbyist use for them, only know it from my father teaching some computer engineering courses and picking since he could use the same board for digital logic and microcontroller programming.
With a bit of luck, someone will reply with better options.
Edit: or look at this list: https://hackaday.io/search?term=fpga