My favourite is the PSP, and to make sure that it counts I will define "console" as definition 4. "The portion of a computer or peripheral that houses the apparatus used to operate the machine manually and provides a means of communication between the computer operator and the central processing unit, often in the form of a keyboard nub and some buttons"
Not only is it a portable PS1.75 that has ports of PS3 games but it can also play NES games made to look like SNES games sold separately for $40. Plus it can act like a really finicky iPod.