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Honestly there was a really cool rumored name for the upcoming Xbox One. I can't remember it but it was like Xbox Infinity or something along those lines. It sounded really good, so good in fact that when the real name came out I couldn't believe that rumor wasn't true ;p
I'm gonna take a shot in the dark here, but I'm going to say that considering its track history the fourth incarnation of the Xbox would be called the Xbox2Pi.
you get it? because 2Pi is the same thing as 360 just like Xbox One is the same name as the Xbox, Them math jokes.
On an added note I would like to point out that the Xbox's name has never truly changed. The first Xbox is called the Xbox. a 360 will put you back right where you are... and of course the One sounds like its the name of the first Xbox.