Microsoft recently announced ArcGIS Maps for Power BI provided by Esri. This functionality is still only in preview, but we decided to give it a test drive. https://powerbi.microsoft.com/en-us/blog/announcing-arcgis-maps-for-power-bi-by-esri-preview/
We used data from our social media solution to visualize with this new feature. The results were pretty impressive as shown in the images below and a huge improvement over the existing Map visual.
There is a BUT! This feature is not currently available for Power BI Service, so its application is very limited. Of course, the feature is still only in preview, so it will be corrected soon as confirmed in this thread. http://community.powerbi.com/t5/Desktop/ArcGIS-Maps-for-Power-BI-Preview-Discussion/td-p/72947
UPDATE: Microsoft has announced that the ArcGIS mapping service is now available in Preview in the Power BI service as per this post from Microsoft on 24 November https://powerbi.microsoft.com/en-us/blog/arcgis-maps-for-powerbi-available-in-powerbi-service/.