I have started using it to do every single task that I would previously use threads for, and for a lot of other things that I would otherwise have done sequentially.
Two days ago I made my own very shitty static site generator parallel using fibers.
I have a POC for a irc-like server with proof-of-work to send messages depending on current message throughput. (Not online yet)
I am not really a programmer, so I mostly do stupid things with it. I made my smart home server (written by me, using ZigBee to communicate with devices) scale to thousands of parallel authenticated connections. Just for fun (or at least to be able to say that my WiFi and ZigBee dongle gave up before my own ZigBee controller software did).
I have even used it for fully cooperative multitasking (by setting the "Hz" in guile-fibers to 0).