An XDA developer by the name of Dubbsy has taken the job of getting some stock Google Edition love onto the Verizon Galaxy S4. He has successfully ported over a new Android 4.2.2 GE ROM that you can flash onto your S4 right now.
One of the daunting tasks about the Verizon Galaxy S4, is dealing with the CDMA. Dubbsy has made it past that challenge, and now invites you S4 users out there to try his GE baby. Everything is pretty much running smoothly in the build, except the IR blaster, and some GPS issues. I am sure he will keep updating his ROM frequently, to ween out those annoying bugs. Hit the link down below to be directed to the XDA thread. Make sure you follow the directions carefully, and let us know how it is.