rating them as I'd rate a boxer
1st
Sovereign class
PUNCH
Super punching power, has the ability to dish it out like a George Foreman in his prime
FOOTWORK
Great moves. Super Fast, High Maneuverability, moves like Ali but got no cloak
BRAINS
A smart ship, kinda untested since we only see them in the movie. Since the Federation crew always have brains lets just give them the benefit of the doubt and say this is a well trained very capable ship
DAMAGE SOAK
Great damage soak, super high durability. Super modulating shields, great armor. Tough enough to take blows from the super powerful Scimitar
2nd
D'Deridex
PUNCH
Average punching power, but that matters not. The D'Deridex is as good as invisible and a jaw of steel. What good is having all that weight training when your enemies are more cunning and can keep phasing in and out attacking from behind like a deadly ninja. The D'Deridex can wear just about anyone down.
FOOTWORK
Its got moves, not the best moves. But its fast and has an almost impossible to detect Cloaking device
BRAINS
An extremely smart ship from a very advanced Empire, this ship is very Brainy. Should easily be able to analyze weird matter block it, copy it etc heck they even brought Tasha back from the dead. It's crew a well trained, smart and passionate people. There's a reason the Romulans have been giving the Federations Galaxy Class a run for their money
DAMAGE SOAK
Soaks up blows, great shield system. Duranium/Tritanium double hulls, super high durability.
3rd
Galaxy
PUNCH
High punch power, probably more than the D'deridex-class with better range and quicker hits but the other two, the Sov and NV have it beat here
FOOTWORK
Good moves. Fast, Good Maneuverability, it can duck, its got speed
but got no cloak
BRAINS
A super smart ship, with a few tv series full of science feats to back them up, these eggheads can handle anything from black holes to leathal spatial anomalies to time distortions to the crazy Q entities. Not all crews are made equal, some don't have the brains of Picard and Geordi. If they have an advantage over the Sovereign or Rommie crew its not by much.
DAMAGE SOAK
Good damage soak, high capacity shield system, high density armor, high durability.
4th
Negh'Var
PUNCH
Super punch power, this ship is Mike Tyson on steroids. If he can't punch you out with his first few rushes of crazy combos, the ship will try to bite your ear off
FOOTWORK
Not Good. Moves like a zombie, pathetic. If it didn't have the cloak I would label its footwork completely useless. The B'rel Bird of Prey class had much better moves, this ship is bulky and moves like a brick, others ships have made a joke of it
BRAINS
It's an average ship, no great sensors, no science feats and a species that are obsessed with knives and blood rituals. Wouldn't be surprised to see an episode where a Fed or Rommie hacks their ship and just makes it fail while the dumbfounded Klingons just explode. Never bring a knife to a photontorpedo fight. This ship and its crew are in desperate need of a significant upgrade
DAMAGE SOAK
Great damage soak but there really isn't anything else to discuss when the ship has the footwork of a zombie and the crew has brains of a donkey. It ranks 4th because one of the other 3 ships have already destroyed the NV, beaten and blown apart while the Klingons were too busy obsessing over blood or honor or some other crap