You can get flexible printed circuits (FPC) from vendors like JLCPCB and PCBWay, which are essentially what you describe. https://jlcpcb.com/blog/flex-pcb-avai

You can get flexible printed circuits (FPC) from vendors like JLCPCB and PCBWay, which are essentially what you describe. https://jlcpcb.com/blog/flex-pcb-available-at-jlcpcb-from-special-offer/ https://jlcpcb.com/blog/flex-pcb-available-at-jlcpcb-from-sp... https://www.pcbway.com/fpc-rigid-flex-pcb/flex-pcb.html https://www.pcbway.com/fpc-rigid-flex-pcb/flex-pcb.html And in case folks reading this don't already know it, multi-layer rigid printed circuit boards are a common technology based on laminating together multiple very thin rigid layers with each layer carrying separate traces.