Without further ado:
Scott Guthrie is the EVP at Microsoft who's responsible for everything Azure, Visual Studio, SQL Server, PowerBI, etc. etc. In this session he talks about Azure and cross-platform applications. While it's a year old, it's a great view into how Microsoft is viewing development in an open source world.
Any session by Brian Harry is worth watching. They show a demo where they set up Continuous Integration and Delivery for a Java app to a Docker container in Azure, which was written in IntelliJ IDEA on a Mac.
.NET Core + Application Insights by Jeff Prosise and Scott Peterson
If you've never heard Jeff Prosise speak, then I'm happy to be able to introduce you to one of the most smart and connected guys in the Microsoft ecosystem. He is unbelievably smart and is a great speaker. This session provides practical application of ASP.NET Core and Azure App Services. Don't miss it!
If you're like me, you often miss some of the features in VS and .NET because there.are.so.many. This session is a nice overview that gives you a taste of what's available. It's only 12 minutes long but it's worth it.
Overview of the HockeyApp and Visual Studio Mobile Center. Good info on how to distribute an app.
Those are my favorite sessions. The good news is that MS Connect(); 2017 is coming next month! You can look forward to seeing new info on Microsoft products and here at Mobilize, we might have an announcement or two as well. :)