I'd love to see some of Iain Bank's Culture GSVs https://en.wikipedia.org/wiki/Ship_types_of_the_Culture#Gene... or some ships by Alastair Reynolds
She rode the spinal trunk, the four-kilometre-long shaft which threaded the entire length of the ship. She had boarded somewhere near the nominal top of the shaft (there were only 1050 levels that she knew of) and was now descending at ten decks a second. The elevator was a glass-walled, field-suspended box, and occasionally the lining of the trackless shaft turned transparent, allowing her to judge her location without reference to the elevator's internal map. She was descending through forests now: tiered gardens of planetary vegetation grown wild with neglect, and dying, for the UV lamps which had once supplied the forest with sunlight were mostly broken now, and no one could be bothered repairing them.
Star Trek, just to take one tiny example, always talks about "quads", where one might expect bits. What's a quad? You might think "maybe it's a four-state bit", but in that case the numbers talked about on the show are absurdly low [1]. One "gigaquad" would be 2 gigabits, or about 256 megabytes (depending on whether we're using 1000 or 1024 as our base). Indeed, the entire point of the measurement is to be mysterious. This does not play well to comparisons.
By contrast, "kilometer" means the same thing... well... more or less... across a wide variety of fictional universes.
By "more or less", I mean that it's pretty easy to just splat a number down without thinking about it. Here, let me write my own story:
One day, astronomers spotted a perfectly spherical,
shiny spaceship approaching Earth from outside of the
orbit of Pluto. It was a trillion kilometers in
diameter! They sent it radio greetings, but before
the message got there, the ship blew up. Truly, Man
was humbled by his place in the capricious cosmos.
The End.
And to be honest, I rather think the Independence Day ship fits that description. It's absurdly large for what it actually did; if taken seriously, our little fusion bomb should probably not so much have "exploded" it as "caused a bit of a flash, if you were looking". (Secondary explosions may have finished the job but it would have looked quite different.)
When you consider that Consider Phlebas was published in 1987, it was probably necessary. In 2013, a writer can count on all sorts of metaphors and approximations that wouldn't even have been a concept to most in 1987.
Comparing on a like for like basis I can't think of any other series that have similarly powerful AI except for the Neil Asher Polity novels (if you haven't read them check them out best description I can think of is Culture novels crossed with die hard) which also has god-like AI's.
http://www.antipope.org/charlie/blog-static/2010/09/books-i-...
Of course, proving that the Eschaton is more powerful than a Culture Mind (or one of Vinge's Transcendent Powers) might be a bit tricky.
[1] http://en.wikipedia.org/wiki/Mind_(The_Culture)#Structure
[1] http://www.scottaaronson.com/democritus/lec19.html, Lecture 19: Time Travel.
Perhaps the shortest SF story worth reading...
There's also some other "big scale" SF like Greg Egan's Diaspora or Olaf Stapledon's Star Maker that might qualify. Egan's book ends up with the main character having run through trillions of AI simulations in new universes, including higher dimensional ones.
Stapledon's book is the story of the entire universe combining into one intelligence to attempt to contact God. The book was written long before computers, so it might not qualify as AI.
http://filer.case.edu/dts8/thelastq.htm
Pretty much has to be the most powerful AI (as it reboots the entire known universe).
"Each player in Sufficiently Advanced is an agent of the Patent Office, an intergovernmental organization that polices and enforces intellectual property law across the universe. It is an open secret that the Patent Office is run by the Transcendental AIs, whose very beings are spread across time itself. The Transcendentals desire the survival of humanity - as much of it as possible - into the distant future, in order to ease their loneliness. Towards this end, they have hired you, so that you might save humanity."
Actually instead of an image, a site where you can compare lots of ships would be cool, and adding more ships would be pretty simple.
It features more ships, but no direct comparison capability. And no Culture ships.
* = Frames! And Drag'n Drop-stuff which apparently only works on MSIE.
Nice appropriate handle, btw. :-)