1. I want it to be backward compatible with all the eShop games I bought this gen. And I want to download them on my NX handheld for free or a very generous upgrade fee. The ability to play Smash Wii U, DK:TF, LBW, and my virtual console games I bought on the go would be an incredible incentive to buy it early just like how smartphone users love to upgrade their new phones at launch without worrying about losing their old apps.
2. I want the screens to be at least 720p for the first generation. Smart phones can already play games in HD, and in a few years be able to have 1080p screen. Nintendo needs to have HD screens as well.
3. Get rid of friend codes. They probably will but since its still on the 3DS, its actually a valid request.
4. Miiverse 2.0 - now with Twitch/Youtube support: Sharing screenshots with Miiverse is great. But now that the competitors can stream their games on Twitch, so should NX handheld. Would be a great way for the consumers to shares these games easily with others. This means uploading the stream/game recording later to YouTube as well. Will also make life easier for Let's Players that Nintendo supports ie GameGrumps and Chuggaconroy.
5. Multitasking apps: 3DS already has some apps that can be multitasked but these are programmed to do so. You can switch to Netflix without closing your game for example. Mobile NX should be able to do this though. Which leads to the next point.
6. Sync your Nintendo NX to your smartphone and its apps: Just like how the Apple watch could sync with an iPhone text messaging app, I want an OPTION (chill guys) to have text notifications to pop up in my NX games and also the ability to respond to the text within the system seamlessly. If this can't happen, Twitter post notification or facebook messenger would suffice as well. Just make the system more social to digital age Nintendo!
7. Easily "streamcast" your game onto the TV: This is simple. Do what does the Vita does with the PS4 or Vita TV but with the NX home version. But also allow it to do so with an Apple TV, Roku, or other TV streaming box (maybe PS4 or One as as well) with the NX streamcast app.
The benefit of connecting to your NX home console instead of the others would mean you can use the NX controller instead of the handheld. And maybe you'll get more points as well.