Cute game. Here are my criticisms:
The tutorial broke on me. It told me to upgrade the weapon, I upgraded damage. It didn't acknowledge that I had upgraded it. Then when I clicked the system slot, it just gave me the tutorial for equipping one. But then it gave it again, when I clicked the other system slot. And it gave other tutorials again as well, until I had beaten two waves, then they finally just stopped coming up at all.
I think the shop broke at some point. It started only ever giving me Hull Reinforcement, Pulse Laser, and I think Reactive Hull. This happened after (somehow) unlocking a bunch of things, which I never ended up seeing.
The first run was a little too long for me, especially because I didn't realise I was working towards unlocking new things with my actions. I think I would have been more interested if that had been communicated to me. I did eventually unlock things but I had no idea what I had done to unlock them.
Lots of things are just a bit unclear, including the UI itself, but you probably know that already.