If you are looking for the Microsoft Edge browser on Server 2016, look no further, it isn’t available! This is due to Windows Server 2016 being in the Long-Term Servicing Branch and the quicker rate of change of the Edge browser can’t be supported.
The official response from Microsoft is:
“The Long-Term Servicing Branch (LTSB) versions of Windows, including Windows Server 2016, don’t include Microsoft Edge or many other Universal Windows Platform (UWP) apps. These apps and their services are frequently updated with new functionality, and can’t be supported on systems running the LTSB operating systems. For customers who require the LTSB for specialized devices, we recommend using Internet Explorer 11.”
It’s a shame not to have a consistent user experience between Windows 10 and Server 2016 especially in environments that use Remote Desktop Services.