This is actually quite similar to using LXC containers to run GUI apps. Something like Wine would be a good candidate to run in a container, perhaps others too. And you can use both privileged and unprivileged containers for this.

I have a guide on running accelerated GUI apps in both privileged and unprivileged containers: http://www.flockport.com/run-gui-apps-in-lxc-containers and here's one more by Stephane Graber, lead developer of LXC using only unprivileged containers: https://www.stgraber.org/2014/02/09/lxc-1-0-gui-in-container...