Screen print,
OR
White vinyl stuck onto acetate (this sounds interesting)
I maybe need to adjust the designs to the white is slightly thicker other it will be picky to stick on and also may not cut very accurately
This could be the base print, I like the style and thickness of the illustrations and I know they wouldn't be appropriate vinyl cut outs. However I could vinyl cut out the white part of the logo and the name of the song and then stick them onto acetate and layer.
So this is how it could look once layered.