When getting directions, you could designate a number of areas on the map as “avoid area”.
You could map all sorts of census data. Want to colorize the map based on crime rate divided by median home price? No problem.
You could import lots of data from a spreadsheet and do useful things with it. I used this when looking for my first house. I scraped the data from realtor.com and made maps where the icon changed on the number of bedrooms and the color changed based on the price.
You could make drivetime zones. Want to see how far you can drive in 30 minutes from your office? No problem.
You can probably do a lot of this with ArcGIS, but I don’t know since its way out of my price range.
I keep hoping that Microsoft will bring some of this to Bing Maps. I would pay to use these features again and adding them to Azure would definitely differentiate them from Google Maps.