one thing to keep in mind is that many of the factions in the three galaxies are composed of multiple races ships.
for example, the CCw has wolfen, noro, human, amid others. and some of their ships are older designs created by one particular race. thus they should each have a different asthetic, even within the same classes.
so i'd say the
Hunter class, as an example of pre-CCW Wolfen design, probably has a bridge with elements similar to that of the
NX-01 from
Enterprise. practical tech, but in a design that is both asthetically decent, and reinforces the whole "alpha wolf" mentality of the crew, with the captain in a central spot and all others either looking at him, or lower down than him.
i'd say the human asthetic pre-CCW was a BSG esque "utilitarian" design, with a command center deck/pit dominated by a big plotting table and lots of crew stations.
the Noro tending towards a stargate "atlantean" style, with empahasis on crystal shapes.
post CCw the three started adopting elements of the others styles they liked or thought useful. so post CCW human built ships might have gone for a "Galactic empire" type walkway and pit design, thus adding an element of "alpha wolf" to the command deck style, a wolfen might move onto a more "TMP" style by adopting the smooth consoles and cyrstal like shapes of the Noro, and of course, the Noro no longer have their own warships.
i'd say Runners tend to styles more like the
Nostromo/
Sulaco/
Firefly on the cheap end, and "trek: TOS" on the higher end of the spectrum. smugglers and small business traders can't really afford luxury, and practical would generally be the first concern.
the UWW definately would have a range of styles. the Dwaves probably have a very steampunk/techno-gothic thing going. lots of metal and pipes and stuff.
Elves i'd say probably have ships like the Jurian ships in
Tenchi Muyo, lots of organic curves and materials involved.
Asgardians? not sure. i'd bet they love to add runes and nordic artwork to anything they build/buy though.
the Kreeghor......Goa'uld. definately. golden walls and consoles embossed with stories of the great deeds of the Kreeghor emperors, egyptian and greek elements, ect. it seems to me that a race that was in the "stone and stick" age prior to being enslaved by splugorth are likely to perpetuate their own version of splugorthian archetecture from lack of other options. just now the bridges of a ship have a throne for a Kreeghor, not a slime pit... (and lets face it, Kreeghor exterior ship asthetics are close to goa'uld ones anyway)
Promethian ships probably have a major stargate asgardian feel to them. lots of hidden tech, minimalist design, and few sharp angles.
the Golgan's....hmm...as frog dudes...i'd say Mon Calamari from star wars, just less white. very techno-organic looking.