Question about whether I should switch systems for Cyberpunk genre game?

I am currently in a group playing Cyberpunk: RED and, while I am enjoying the GM's play style and plot, I feel like we're not utilizing the system to its full extent. Particularly, we have dropped initiative, the XP system, and the very, very detailed way it handles "damage to body parts." What might be a good system to switch to while still keeping the feel of the game? I've looked for any PbtA games, but there seem to be none in the cyberpunk genre. I personally would prefer a narrativist sort of game but I'm okay with a little bit of crunch in combat (and I think the other players/GM would agree with me).