So, let's see if we can get a truly comprehensive list of all the computers that count as characters from Sci-fi. I hold a robot to be different from a computer, because it's mobile; although they count as characters, their mobility anthropomorphizes them. Therefore, the fact that they are full characters isn't as interesting. So here's what I came up with off the top of my head. I'm mostly thinking of movies and TV; books are cool too!

Computer or A.I. characters in Sci-fi

This list is deliberately sparse...add on!

Thanks to General_Wesc, Starrynight and Magenta for corrections!
Other contributions from ratbastid, fondue, samgrover, Gorgonzola, Segnbora-T, getzburg, Wyclef, et. al