Personally, I prefer my Fleet issue Akira Class Escort Carrier.
I started using the Dyson Destroyer (not the C-Store variants) as a ship of choice against the Voth, but my Akira class has gotten me through Elite STFs and missions against the Voth, Tholians, and now the Undine, with little to no difficulty. The USS All Under Heaven will always be my ship of choice for general combat and exploration (partly because it cost my 2000 ZEN...).
I equip her with dual cannons, turrets, two photon torpedo launchers, and a kinetic cutting beam. The MACO set works rather well for an escort class that always wants to stay alive more than a minute under direct fire. Having a squadron of Peregrine fighters is always nice as well.
Oh geez, I'm a cruiser sailor at heart. I get the most joy out of TWoK style ships (Miranda, Refit Constitution, and the upcoming Constellation). However, my favorite go-to ship is the Odyssey followed by the Sovereign as a close second. For my Klingons it's between the Bortasqu and the Refit B'Rel. My Romulan flies the D'Deridex but I may get her the Mogai.
Member since November 2009... I think.
(UFP) Ragnarök Fleet - Logistics Division Vice Admiral T'Phira; Captain Selena; Captain Altecha; Captain K'Kera; Lieutenant Aydihe Tefx; Subcommander S'ena
(KDF) Lieutenant General Vokno (aka Lady Vokno); Lieutenant General Raylene
I compared it to many C-Store ships and I have a very hard time trying to justify spending 2500 Zen for another ship. Sure there are ships that have sturdier hulls, more consoles, gimmicky saucer separations... but is it worth spending 2500 Zen for? No... not at this time.
Since I have only recently finished Temporal Ambassador, I have not played around with my somewhat newly received T3 Ambassador support cruiser. Maybe I will load it up with some gear and take it for a spin in an elite STF mission.
It's hard to choose but I guess my two favorite in looks Is probably the Imperial Class And the Nicor Bio-Warship (I don't really own the Nicor but I will soon, hopefully). In power my Bulwark all the way.