I agree with others in that you're asking to compare two different animals here. I think the G2 vs the S4 is a more valid comparison. Either you want a phablet or no. But for arguments sake...
I like the Samsung Calendar widget way better. and I think over-all most of the default apps are just a little better in Samsung land.
I think I like the lack of side buttons more then I like the buttons on the back, if you get my meaning. I hated hitting side buttons when ever I picked up the phone or tried to take a pic.
ISP Screens are much better then amoled, IMHO. I dig the saturated colors of amoled, but not enough to overcome the ability to see a screen in bright sunlight.
Knock Knock is great when it works, really hope they get this one working better, I find myself knocking on my iPad all the time.
Can't compare battery life, but it is stellar on the G2 in my experience.
I think you're splitting hairs on the cameras