Yes, there were plenty of episodes in TOS where the computer spoke in a female voice.

And there was 2 episodes in "Star Trek: Enterprise" where Captain Archer and/or his crew came into contact somehow with future Federation ships, and she did the voices for these ships (the USS Defiant and USS Enterprise-D, respectively). So that's why it can be said she did the computer voice in that series as well, even though the NX-01 itself doesn't speak.

"I have never seen the Animated Series, so I am guessing that is the sixth."

Good guess!

There's no Ben Affleck.

Also, there's a lot of different ways that JJ could have gone to revive the Star Trek franchise in movies, and seeing that he kept the costumes, characters and their mannerisms, ship, terminology (aka treknology), chronology, etc (while of course updating it all a bit), and also made sure to make several nods to the past Star Trek stuff (for example Rura Penthe, Old Spock and his references to previous TOS shows' events, the computer voice, the USS Kelvin's phaser turrets, Christopher Pike and even a tribute to Arex, with the addition of Alnschloss K'Bentayr (ok, maybe not a tribute, but close enough! Can't wait to see he/she/it in action...) )

There's a ton of stuff in that line of thought I'm missing, but I'm not only excited to see this movie, as a Trekker myself (heck, I'm glad that Star Trek will receive this kind of boost! It's been slow for Trekkers, beside the novels (which are really good by the way) since Star Trek: Enterprise), I'm also confident that it is in very good, capable hands and that if you're not specifically thrilled by JJ's involvement, know that he has made sure that he is backed up by Trekkers that knows their stuff. That much is obvious!

May 09 can't come soon enough for me! (well, of course, I'll be buying movie stuff before that date... like the comic book prequel, for example :) Ah, it's good to be a Trekker! (or Trekkie, whichever you prefer))