Wow, this game caught me a off guard! At first, I thought "Breakout + Magical Girls," nice! But by the time the first boss appeared, things got intense quick! I had a really good time playing this. The story was good (I see below you've already mentioned it might have been inspired by a certain MG show, hehe) and kept me invested as I battled through levels! The defensive enemy was pretty hard, but not as hard as one level where I just couldn't get that last block for minutes on end. (A breakout problem in general). The power were all fun to use. I didn't understand bubbles while playing, but you explained it below.
My main critique would probably be that the graphics were a mixed bag. The game sprites and characters looked nice, but some of the BGs and enemies were a bit rough. The text was hard to read in fullscreen too, but not so hard as to make me want to play in a small window hehe.
Anyway, great entry and great game! Awesome work.