1) Stealth B
2) Engi A
3) Mantis A
4) Mantis B
Think wow, i'm winning a lot. Maybe I should go for 2 total wins with each ship, so:
5) Crystal B (this one's almost a gimme)
6) Kestrel B (Tough run, very little scrap. My new lowest score for a victory)
Now for the hard ones. Surely one of these will kill me, right?
7) Zoltan B (Three suns in sector 1, 2 of them back to back. Ouch, but at least no asteroids)
8) Slug B (I'm now 2 for 2 with this crippled piece of junk!)
9) Engi B (That's it! Two wins with each ship.)
What's next? There's no possible way i could win 10 in a row, and to make sure I'll do:
10) Stealth B (Damn, free pre-igniter in sector 2. The streak goes on.)
Most of these did not seem to be particularly lucky runs, but none of them had overwhelming bad luck. 8 of these runs had at least one point where I thought I would probably lose! I guess that speaks to how well the game is balanced.
Needless to say, in reference to a previous thread, I don't think the game should be easier

--- Updates ---
11) Fed B
12) Zoltan A
Streak still going