Moving left and right feels really nice, you did a good job of the second to second experience there! Reminds me a little bit of a game by Juicy Beast called Knightmare Tower in places which is cool!
Only feedback I have is maybe it'd be nice to know how many hits the player character can take before they have to try again either with some UI or an indicator on the player character itself. I also tried to get to a state/theme change in the environment but I couldn't get that far, I guess I need to git gud! :D Would love to see more parallax layers added in the foreground as a future update too perhaps.
Either way great game! :)