Hi mantha16!
I think this way, with the screenshots, it's much easier to come up with suggestions for level names.
Having the style names alone can work, but it most likely would have lead to very generic level titles, and I guess that's why nobody responded.
Of course, ideally the level title should also somehow refer to the solution. Since I don't know what you have in mind for these levels, my suggestions for their names are only based on what they look like. But it's better than nothing, I guess, so here we go:
Beast: "The pyramid of steel"
Death Egg: "Convey a message"
Purple (namida): "Tangle wire"
L2 Cave: "Bonehoard"
Fire: "Nomen est omen"
Crystal: "Net benefit"
Marble: "It's all Greek to me..."
Circus: "The merry-go-round"
Sandopolis: "Golden wings"
Relic (Freedom Planet): "I clearly suck at Tetris..."
Purple Mod: "Balls out"
Glacier: "Spikes in difficulty"