Sidewinder: It's the basic beginner ship and just a victim - like it should be.
Eagle: It costs almost nothing - I would not buff it because other ships would be less of an improvement.
Viper: I still remember the Beta 1 Viper - what a beast! Still don't know why it was nerfed so heavily. At least it should be still the fastest ship.
Cobra: I feel it's too much. It's an allrounder for little money that can excel in almost everything - except pure combat. Although it is capable of, other ships outclasses them in terms of firepower/tankability. But they cost a lot more. Imo it's too fast and can take too much damage.
Asp: I think it's well balanced for its' price. It can do everything, from exploring to pure combat. Perfect hardpoint allocation, but weak shields to not overpower it.
Python: Haven't flown it yet, but from what I read/seen and its' stats - impressive. The bigger brother of the Asp, very expensive but extremely strong shields and a nice combination and allocation of hardpoints. Good allrounder/fighter
Anaconda: I think it's well balanced. It's very powerful, can shoot in almost every direction with turrets, not easy to kill - but can't kill easily by himself. If you're not using turrets you're vulnerable but have more focused fire. But often you have one chance: they'll run if you take down their shields in 0.5 seconds and you cannot follow.
Hauler: I would say a little bit more cargo would be nice. Right now the Cobra is your upgrade til you get to the Type-6 as a trader. Nothing in between
Type-6: Good price, good ability of earning credits.
Type-7: Although it seems to be a medium ship it's a large one, crippling its' ability to earn credits somewhat.
Type-9: If you find a efficient trade route (not too much jumps etc) its' the grinders dream. It shts credits.
Fed. Dropship: Never flown it, never seen it in a video - no opinion.
Imperial Clipper: Almost useless, every role has a better ship. Can't fight properly, Type-7 has almost same profit without rep. gain (time that could be used to trade), mediocre jump-range for explorers, never tried mining. Although it's by far the best looking ship for me
All in all I would say the balancing is overall pretty good, some details should be adjusted. On the other hand some of the upcoming ships may fill the gaps existing right now.