Ordered in terms of importance.
1. Games, of course
2. A real Nintendo Network, with achievements and such (a good app store wouldn't go amiss either)
3. GODLIKE battery life (like the original Game Boy)
4. Durability (Good build quality with a nice screen(s), possibly gorilla glass)
5. Dual analog, bumpers, triggers, that good stuff
6. 3G at no extra cost
7. Significant leap over the PSVita and on-par with mid-high end smartphones (None of this antiquated 'lateral thinking with withered technology' crap)
Hardware owned:
PC, PS4, 3DS, Wii, Xbox 360, PS3
Most anticipated games (near to mid future):
Zelda U/NX
The Last Guardian