Not sure why this interests me... But i just wanted to point out, this is all relative. Here are some of the facts that I remember:
* Galaxy Class was considered the most advanced as far as luxuries, size and armament.
* Intrepid class was considered FASTER but it is smaller.
(Galaxy class max warp is 9.3 .. Intrepid is 9.9 )
(and isnt the "faster" argument moot??? there is no gravity or inertia in space)
* Galaxy Class standard crew compliment is 900-1000 ... but can hold upto 4000 in a pinch (like doing an evacuation for example).
vs Intrepid compliment is 140-160 .
* Also being larger means galaxy class can hold more shuttles / torpedos / probes...
Personally, Id rather be in the Galaxy class. It was built for power.. intrepid was built for speed