The following error occurred on two of my computers when trying to run the first example (Creating a MonoGame Game from the Template):
"An unhandled exception of type 'System.EntryPointNotFoundException' occurred in OpenTK.dll
Additional information: Unable to find an entry point named 'glBindFramebuffer' in DLL 'opengl32.dll'."
In both cases, the root cause was a graphics driver issue where the Microsoft supplied driver was not sufficient to resolve the references from OpenTK . I had to download the driver (for my computers from ATI) and replace the MS driver. This solution is also mentioned at stackoverflow