Overall I love the G2. The screen is excellent, the 2Gb memory is plenty of RAM, CPU is very responsive-apps run perfectly. I like the camera for the most part but have had run-ins with the slow focus, but still a nice picture when I tap on the focus region before snapping. Battery is very good, still with a lot of use and WiFi on it starts to run down by the end of the day - but it is a good battery for a phone with this much power.
OK - Things I don't really like that much:
1. Glass design with near zero bezel width results in very fragile design in terms of screen toughness/reliability. Phone must be in case 100% of life IMO - should ship phone in a case ;-) Wider design with some additional bezel width and in addition thicker Gorilla Glass 3 top glass would be welcome.
2. Love the QuickRemote app for the phone, works with all my devices but the IR signal appears to be rather weak. I need to be within 5-6 feet of my Vizio TV to control it ( the G Pad 8.3 works from 12-15 feet but alas that QuickRemote app is limited to only TV and Cable Box devices ??why LG?? ).
3. Knock-on feature - great idea with a poor implementation / execution. It only works under limited circumstances and not completely consistently. I would like to rely on it as a way to wake / sleep the display but it is simply too unreliable to be considered a true "release quality" feature.
4. The stock keyboard is unusable IMO. I would recommend LG cut a deal with Swype or SwiftKey to include a modern keyboard with the phone out of the box. Tap keyboards are dead technology on modern smartphones, i.e. now expected to either tap or draw on a touch screen keyboard.
5. Want a micro-SD card slot (not a major problem, but since the phone is such a performance beast I would love to have extra 32 or 64 Gb of media storage available).
6. Not a big fan of the back buttons after a few months of use. I frequently fumble to find the 'on' button (see knock-on problem desc.) and typically find my finger in the picture when trying to use the back buttons to snap a picture. If the back buttons are useful for snapping photos (which some say they like) then physically separate the camera lens from those buttons by an inch or two.