1. sapphire screen, or whatever kind of screen it needs to be so that it we don't need to use screen protectors
2. LCD? I read recently that the stylus will be more sensitive to it, just as long as it is sharper and higher pixel density then previous version OK
3. THINNER, LIGHTER, FASTER
4. unibody is fine, it will look better, as long as the battery life kicks ass & then some, I don't mind not being able to pull out the battery.
5. even better battery life +++
6. a new graphic or industrial designer to make the look more sophisticated and sleek, elegant, I think all galaxy S and notes look really cheap with cheap plastic, but I stick with it only because I prefer Android, and the note 2 with its stylus functionality, stop with the cheap lazy ass reused design, and then try to market it to us as if a pebble is so modern and cutting edge. Really, if I hear another pebble marketing for the Note 3, I am going to buy it just to skip it across a pond. Seriously, Samsung should have enough money to hire someone that can design a good looking phone that stays on the lower cost budget.
7. the note application has to run much faster, S Note takes so long to start up, I know Samsung wants to start going big with its extra samsung software, but they need to keep in mind to debloat as well to keep the applications running fast and smoothly. Just lots of rework in their app in general. Need more flexibility of use and customization. It needs to be FASTER.
8. I NEED image stablization for camera and video like on the LUMIA 920
9. oh, get rid of the clunky middle home button, its so raised and hard and ugly, just use soft buttons or else a design thats something more elegant and sophisticated, it's NASTY get rid of it, Samsung I like your products but I hate your design, its CHEAP, come on man you got the money, show the world you got some taste and style
check out this fake mock up for the s4, it should at least be as nice and simple and thin and elegant and sophisticated like this, but with a stylus
Hands on Samsung Galaxy S4 First Look by ram agarwal - YouTube