My system is Windows 10 Enterprise LTSB x64. The OS shuts down without any errors, the screen goes black, but the coolers keep spinning and the light on the front panel keeps glowing for 30-40 minutes or so.
A couple of times even something like this occured: it looked like the PC is shutting down, as per usual, but then, when even after 1hr it was still spinning, I turned on the monitor and the login screen was on.
It has been going on like this for a few months or so. When it started, my hardware was the same. The only thing that could've changed probably was either Windows updates, or the graphics card driver updates. At the moment all software is up to date and besides that the computer is running smoothly.