Personally I don't want onscreen notifications. That would be distracting and annoying to me. Granted I'm sure you could probably turn them off, at least I'd hope you could.

I'd be fine with it if it was on the gamepad screen.

Well said!
Although I think, given Nintendo's track record, expecting them to do cross/party/game chat in everything is asking too much, as is streaming to Twitch and YT.XD [and it's not as if streaming is that big of an important feature, though there's a case for chat]

I also don't think they'll have the entire back-catalog of games from the VC ready at launch.
Not even Sony and Microsoft have done that, so it's a bit silly to expect it of Nintendo.

I like your list of third parties; EA, Ubisoft, and the other big names like them have lost my trust with the way they've handled their Nintendo efforts during the past three years.
They're out of touch with Nintendo gamers, and won't likely have much of a place on the NX until they're willing to make some really big-name exclusives instead of falling back on multiplats constantly.

As for other stuff the system needs:

Free online.
This is a must; if they charge me for online, then I won't be trading up until late into its life cycle, when it will have enough single player games to justify the purchase.
Both Sony and Microsoft lost my early adopter patronage because of that BS.

Backwards compatibility with the Wii U.
I don't care how much people hate the game pad; the games on the system were excellent, and having a console that lets me return to my back log with no strings attached, completely destroys any chance of a game drought hurting my love of the system.

MUCH stronger advertisement efforts.
See what they're doing with Splatoon?
Do that with the NX.
Only even stronger.

I don't think there is that much blind hatred and nedless bashing towards Nintendo.

They made great consoles until the Gamecube and I always liked Nintendo, but what they did with the Wii and WiiU was just horribly bad. They completely lost the balance between trying new things and make something for your core userbase. Sure the Wii sold extremely well, but it was a horrible console and completely underpowered, lacking features and most games couldn't be played with a normal controller and instead the gimmicky motion controls got forced on everybody. With the poor hardware they burned most of the bridges with 3rd party and the console was never a viable contender for main console in the household. That got followed up with the WiiU and it's tablet like controller because they thought it's a great idea because tablets and smartphones are popular, again with underpowered hardware not worth to support for 3rd Party and still crappy online capabilities. We have online gaming since the Dreamcast and they still can't deliver an ok online experience.

I'm sure most of the bashing would stop if Nintendo would actually go back to their roots of delivering good hardware instead of betting all their money on gimmicks. Being a generation behind on the hardware just so it can be sold cheap isn't going to work and won't get them the much needed 3rd Party support. As much as I like Nintendo games I'm not going to spend 300 or more bucks on a console that is mainly only good for Nintendo games.

My thoughts exactly.

If the system became an exact copy of the PS4, but with Nintendo games, non-Nintendo gamers wouldn't be impressed enough to go for it.
They already have multiplat machines, after all; why go for a new one when it has nothing but the exact same games and a few Nintendo titles on the side, when they've shown they hate Nintendo's kinds of games?

Whether those that hate change like it or not, the NX needs a clever hook that core gamers will actually think is cool, and third party exclusives.
Those are the only two things that can give it any chance at sales with the non-Nintendo crowd.