I always build directly from source on Windows, Linux and Mac. I don't want all the bloatware that comes with Qt these days, just qtbase (inc. opengl) and qtsvg.
Qt 5.3.1 compiles fine under VS2013 on Windows 7, both 32 and 64 bit. Even XP. I've had problems with 5.4.1 though, which are not yet resolved. Related to libGLES2v2.dll which should not be needed - I want desktop OpenGL, not ES2.
Don't forget to use the VS 2013 Native Tools cmd prompt which sets up the VS variables you need...