I'd expect, and would select, Playstation 4 for Sony.
I think Xbox 1080 is more logical than 720 (since it'll theoretically be able to all games in 1080p) for Microsoft.
Nintendo's next system is... god if I know. I like the name Revolution, though I think Wii is far more marketable. Wii2 seems like a mistake somehow, though. I guess I'd go with WiiHD, though that sounds like the same Wii system with HD graphics (and probably will exist as a GBColor-like system).
Apple, should they get into the business, should make an Apple TV+Game. iGame sounds rather lame, even though it follows with their current naming conventions, and they jsut aren't the sort of company to make a gaming-focused system.
You do not have the right to never be offended.