Could you please let us know the driver version you are running? Please go to Device Manger> Display adapters> Intel(R) HD Graphics right click on Properties and then go to Driver, you will be able to see the version installed.
In the meantime try to turn on the Clear Type feature, follow these instructions Turn off or on Clear Type Text in Windows 10.
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Yes, I downloaded the latest from the intel website and have tried this a couple times. It's version 126.96.36.19931, under driver tab it shows date 11/20/2015. Although I noticed that this date doesn't match the date on the intel website.
ClearType text was already on, but I tried turning it off and on. Didn't make a difference.
I tried a different HDMI cable today and still the same problem. Also, I've tried 2 monitors and they both show the same issue. This I'm convinced it's either the NUC, Windows 10 or both.
Heres a picture of driver settings. I don't think it shows text issue well, but it's definitely fussy. The second picture shows desktop perimeter issue... Notice the hidden start menu and task bar, etc.
Not sure if the pic attachments will work or not.
I was not able to view the pictures, try to attach them in a JPG format.