I can currently fly all minnie T2 frigs and nearly all T2 cruisers. and then BCs and BSs. I have DICs and HICs on the menu too, but propulsion jamming V seems to scare me out of getting there anytime soon.
With this I don't mean I got all the sideskills yet, so I can fly these ships to a varying degree.
What do I actually fly? BS (Mael) for PvE, I have a Drake for the occasional WH visit, and I fly varying ships in PvP, but mostly sub-BC (may change with the fancy ship replacement program we got going): interceptor, covops (scout, though no experience yet), AF, frig, destroyer, cruiser