Not being "compatible" simply means the app devs are not doing their jobs
Most of the apps that don't show up ARE compatible with the phone but won't display in the play store because they haven't listed the LG's screen resolution as being supported.
For example: I cannot download sportscenter from the play store on my G3...it's simply not shown. So I ganked it from the internet, installed it...and it works just fine. ESPN is to blame for this...not LG and these little things will be ironed out soon I'm sure. it's only the second phone with this screen resolution and it still uses the same aspect ratio so all apps should work. Sure...it's a pain in the ass but not recommending a phone for the next two years because app developers are behind the 8 ball isn't really the right answer IMO.
My dropbox link to this apk if anyone wants it:
https://www.dropbox.com/s/k0x99ksdjsx1ble/ESPN_SportsCenter%204.0.5.2.apk