You usually use it to build your own emulator or other analysis tool, often for reverse engineering.
What?
Qemu supports RV and PPC! And all of that is not what “from scratch” means!
In the early 2000s, I used a linux-based emulator to virtualize some ancient manufacturing hardware control software that was still running on EOL and very expensive PA-RISC kit. It saved the company tens of thousands of dollars in new hardware, while also running faster (it involved early 1990s-era proprietary vector graphics as part of it was printing on the goods). The HP sales people were not amused and tried very hard to get my 22 year old self fired, but my manager convinced them to use it and the old hardware as a backup for awhile. Last I heard in 2011 it was still being used, though running in linux on VMware.
The ability to execute and inspect some code without any context (no OS, not even a complete binary) is useful for reverse/security engineering.
QEMU is an emulator that can run entire operating systems, because it emulates hardware devices like hard drives and displays. Unicorn doesn't emulate any of those things, it only emulates the CPU. It's probably mostly useful for compiler development and security research / reverse engineering.
Or you can use it as a sandbox serving x86 software on an x86 machine.
Or as a "virtual machine" serving say AOSP for ARM on a Windows x86 host.
There's a long list of projects using Unicorn at https://www.unicorn-engine.org/showcase/