From TOS, the Enterprise, of course (limited choices, to be fair)
From the TOS movies, the refit, without a doubt
From TNG, I'm going to go with the Akira, as it was a part of the TNG-era movies
From DS9, it's a toss-up between the Defiant and Centaur
From Voyager, I'll pick the Prometheus
From Enterprise, despite my love for the Akira, my infatuation does not extend to the NX. While a decent design, definitely not one of my favs. From a design POV, I can't say that I'm really all that inspired by any Starfleet vessels, so I'm going with the Andorian Kumari. Now THAT was a bad-ass ship.
And from the Abramsverse, I think I'll go with the Vengeance, although I do really like all the background ships. Still really dislike the JJprise, though.
I think that about covers it.