Ships I own and have no intention of selling:
Sidewinder (original one, never got it blown up so I kept it for sentimental reasons)
Cobra Mk.III
Barracuda also kept for sentimental reasons.
Asp Explorer
Nostromo - currently returning from a 2 month exploration expedition aboard this ship.
Imperial Clipper
Adriatic - currently docked deep in imperial space. This is my go-to bubble ship when I don't need to go to outposts, which is most of the time

Imperial Courier
Starling - bought for fun and to visit outposts when needed. Great little ship to fly.
Ships I've tried temporarily for specific tasks (CG / taxi / whatever)
- Hauler, I often buy one if I need to taxi without moving my current ship I wish to keep;
- Eagle, just taxied in it once because I never flew it before;
- Adder, ditto;
- DBS, ditto;
- Type 6, only bought it for the Hutton CG and sold it afterwards.
Planned purchases:
- Anaconda, for the Distant Worlds expedition. Will see what I'll do with her after the trip is done.
- Imperial Cutter, for when I finally decide to get my trading rank up one day.
- Fer-de-Lance, especially since they're improving on it recently, and I always wanted to try it, just haven't gotten around to it yet.
- Cobra Mk.IV - though it's stats are a bit disappointing, it's a Cobra so I want to try it out for myself.