I like both for different reasons. They're each good examples of their respective functions. The Galaxy class was launched in a time of relative peace. The Klingons were out allies, the Romulans had dropped an iron curtain on their border a half-century earlier, we'd won a fight with the Tzenkethi, we'd forced settlement with the Cardassians, we'd had sporadic contact with the mysterious Ferengi... And the Federation was feeling its oats even more than when the Ambassador class had been launched after peace with the Klingons and pretty close collaboration with the Romulans. This ship was intended to go out past the fringes of known space and be able to operate independent of fleet support for up to fifteen years. This was why it was designed for long-term comfort, family accommodation, room for more people than it launched with, etc. A town in space, really.
Meanwhile, the Intrepid class was designed as a scoutship, fast and maneuverable, meant to run out ahead and come back with intel. Something I wish they'd focused more on in dialogue on Voyager. Not just that the Maquis hadn't signed on for the Starfleet mission statement, but that the ship was seriously not intended for a Galaxy type mission -- not the fuel stores, not the provisions for crew comfort and sanity over long durations, and so forth. As for the "flappy nacelles" mentioned earlier... There was a lot that was intended, but that never got incorporated effectively. There was an episode of TNG where it was demonstrated that repeated high-speed warp travel through the same region of space would eventually erode the "membrane" between realspace and subspace. Starfleet imposed a speed limit of warp 5 on its ships while they investigated further. The Intrepid class was supposed to incorporate tech to help mediate the effect. Basically, variable-geometry warp engines -- they'd change position slightly while at warp for maximum field efficiency and minimal spatial impact and such. But it would have been too expensive to generate the VFX showing all that. Me, the one thing I wish was that the engines were up all the time, and only went down to straight horizontal when the ship landed. I'm fine with them saving it for a wow moment. But also wish they'd done it more than once. I'm also not sure what the optimal pylon position would be for the impulse engines mounted on them to be thrusting along the ship's center of mass, but I don't think it's in that lowered position...
--Jonah