Yeah I've also been playing this, great for train journeys although a single run through tends to take me around an hour.
I've unlocked 2 extra ships so far and an extra layout.
I've made it to the final sector several times, but haven't beaten the boss yet.
ps. Pro-tip you'll work out soon, you don't have to rush to the end of each sector. Even letting the rebels catch up to you only means a single rewardless battle against a rebel ship.
pps. Also you can jump as soon as your FTL drive will let you, you don't have to finish the fight.