Just bought the Vigor (obnoxious name) on AT&T. I am coming from Windows Phone (had an unhappy Android experience a couple of years ago) and ordered a Lumia 1520, but it was way too large so I traded it in for the LG. So far I'm pretty happy with it. The build quality is excellent, it's just the right size, and I like having an SD card slot and removable battery (which is what turned off about the Moto X). Android on the LG is much better than the version on my Galaxy Tab 3 (even with Kitkat), and I'm looking forward to Android L. It's still a little fussy and wants to remind me of something every 20 seconds. I'll be spending some time reigning it in. Now I just need to hunt down a good case for it.
Update (10/21/14):
I've had the Vigor (the name is still obnoxious) for about a week now, and I'm pretty happy with it. Still very little lag, and it still looks and feels nice. I got a hard snap on case from Amazon, the "Kaleidio Hard Snap-On Case Cover for LG G3 Vigor." At $6.95 including shipping it was a steal. It fits well, offers impressive protection with a good bumper around the screen, and adds some color.
I've reigned in some of the notifications, but they're still annoying and make me miss Windows Phone. All that crap at the top of the screen and nothing happening with the icons just seems like an inefficient way of doing things.
The pictures are decent, but backing up with the Google Photos app is more annoying than it needs to be. One more notification to hunt down and silence. Don't give me a pop-up telling me that you've backed up my photos, just do it. Also, it keeps asking me if I want to use the Gallery app. Having more than one app to accomplish the same thing is annoying and redundant.
A few other things not mentioned. Wi-fi is great, with good reception and quick connections. Haven't had much of a chance to use Bluetooth on anything yet. LTE connectivity is good (I live in an area with good AT&T coverage) with speeds that seem reasonably fast. Call quality is good, though I haven't had a chance to call anyone with AT&T's HD voice service on their phone. Music quality is good through headphones and an aux cable in the car.
If I had one real complaint, it is that battery life is mediocre. It's tough to make it through a day on a charge. Hopefully this gets better with Lollipop.