It has to be offline play, i mean, being able to play on your console and beat a game ALL BY YOURSELF, what!? W/O even connecting to the internet dude!!! that's just so so so amazing, truly groundbreaking concept that will elevate gaming to new heights, I just wish more next gen games had this feature, but i understand that's something completely new and that they need more experience to know how to do it well.

Gamepad
Dedicated servers on XBox Live

The Wii U's Gamepad; games like ZombiU, Nintendoland, Need for Speed and Splinter Cell Blacklist have already shown some pretty cool uses for it.

Rumble Triggers

A more online experience. I like how the PS4 controller added the touch-pad etc... and I like the new rumble features in the Xbox One controller.

The cloud integration

That is a good question actually. Most of the new stuff is honestly not that exciting to me. I know what I'd love. The end, or very least minimizing, of load times.

The Wii U gamepad

I'm not really sure.

There is nothing as immediately obvious as the ability to turn the console on and off remotely this generation.

I like how you have to pay a subscription fee to play them online.