Why can't I build UE 4.0.2 / 4.1 in VS2013?

The edition of Visual Studio only supports Windows Store apps.

[Output log][1]

I think you got the wrong VS Express, try with:

VS Express 2013

Yes, please make sure you have the “For Windows Desktop” version, then let us know if you are still experiencing a problem.

Also, make sure you are building in “Development Editor - Win64”

I hope this helps.

Thank you! VS Express 2013 works.
Before I was downloaded something from “Visual Studio Express 2013 для Windows” selection.

You are welcome!