I didn't answer your question on game inspiration: For this game entry (my second), I wanted to experiment with shaders a lot to try and get to something that resembled Genesis Noir-like aesthetics. It is a far cry from actually living up to that kind of art, but as Godot is still very new to me, I learned a lot to say the least :)
Ah, amazing! I've added it to the list. Fellow Traveler did my dear friend's game, Neo Cab, when they were first getting started. Amazing, the success they've had in narrative games! My partner and I are playing The Case of the Golden Idol for the first time right now!
Were there any rhythm game inspirations?
Neo Cab is a great game! No real rhtym games as inspiration. I initially sat out playing with procedural music (Eno, Cage, Terry Riley, the works) which is how I came to the Midi for Godot project by arlez80, but threw all of that out to focus on something more manageable. I also played Jazz in Black & White a while back which is a very simple and elegant example of using music as a core game mechanic which might have influenced the decision of a rhytm game as well.