I'd love to see an evolution in game design / player choice.
As is we have a lot of choose your own adventure games. Pick 3 and regardless of your choice you'll go and do the same thing but with a different intent. I'd like to see game development take the pick 3 idea and stretch it into essentially 3 completely different stories with different environments and outcomes.
I'd also want every game released to provide full control options to a player. Every game should offer motion and non-motion controls. All games should allow full customization of the controllers, the game difficulty and all mechanical specifics of a game so players can adjust as they please. Have sliders for how much damage a headshot does, how much damage specific weapons deal, etc. I realize this sort of menu would probably have 300 sliders, but at least each gamer could potentially tailor the experience to one that best suits them if they wanted to.
Lastly and most importantly, I want to see the future gaming let go of grinding. Activities that are not fun should be absolutely minimized or provide options to bypass them. I'm sick of slowly running down huge corridors for 2 minutes just to get to a quest giver who has me run back down these corridors just to start the mission. It's not uncommon for quests to be shorter than the travel time required to really start them. Games like MMO's, Fallout, FF, etc should all have optional fast travel to get to your quest location so you can actually enjoy the gameplay and story within seconds of being issued the quest.