have arcgis server instance creation
Esri has published their 10.3.1 version of ArcGIS Server to the Azure Marketplace
You can also use the Cloud Builder deployment tool to create ArcGIS Server Sites.
We currently use Azure to host our 10.2.2 EDN version of ArcGIS Server for development purposes when outward facing feature and geodata services are required.
Thanks for the suggestion. Can you elaborate on some typical use cases that would benefit Azure customers?