Let's see here...
Vanilla, I commonly end up piloting an Enforcer, Hammerhead, or Falcon. Usually with some sort of engine boost. Decent speed, decent power, not too fragile. In other words, versatile if unexciting. Capitals are too ponderous for a player ship, in my opinion, and I'm usually a tad too brash to pilot fragile monsters like the Hyperion.
Modded, generally with UsS, Wrestler mk.2 (maximum engines, a slew of machine guns, and one HE gun to crack open those eggs), Desdinova (I suspect I don't need to explain that one), and...
The Langoustine. Yeah, a Junk Pirates ship. The faction isn't exactly overpowered, but the Langoustine is a solid striker craft with that wonderful scorpion. Bring along extended mags and you have a recharging, low flux, 1575 damage+EMP burst. And that's with 0 flux bonus and the high energy focus off. And then you have the 2 other medium forward slots on a ship with 120 base speed. All that with an obvious flak cannon slot and some small energy points to spare. Sure there are probably much better ships out there, but busting high-end ships with a junk pirates vessel is always satisfying.
These decisions are usually based on using a high-technology no-combat character, mind.