When trying to export a list from SharePoint 2010, you get an error message:
To export a list, you must have a Microsoft SharePoint Foundation-compatible application.
You have Office 2013 products (32 bit) installed, but it was upgraded from 2010 products.
Since you have had multiple versions of office installed, there are multiple folders installed for it and SharePoint doesn't see anything in the 2010 folder on the client machine - because it was moved to the 2013 folder. There is a fix outlined here for machines that don't have SharePoint Designer, OneNote or InfoPath installed, but otherwise does not work.
But there is a note at the bottom of that article that will fix this if you do have those installed.
Modify the registry.
- Click on the start menu, type regedit and then click OK.
- Under Computer, HKEY_CLASSES_ROOT, find the SharePoint.OpenDocuments.5 key and right click. Choose Rename. Name it SharePoint.OpenDocuments.5.old and click ok.
- The key will be re-added any time you repair/update the Office 2013 program and will have to be renamed/deleted again.