How do I sync grouped Windows Store apps between devices?

Solution 1:

This may not be an option due to the unavailability of some apps on Windows Phone or Windows 8; Tiles may look dramatically different when a tile is missing due to the impossibility of it being installed on the particular Metro platform in question.

It should be possible for someone to make an app that will sync the subsets of each group that are compatible with each device in question. You could try asking the Microsoft Developer Community to produce this app.