Platforms based on transmission lines are nowadays employed for the simulation of standard phenomena in quantum electrodynamics and quantum field theory. In this work, we propose a hybrid platform, in which a right-handed transmission line is connected to a left-handed transmission line by means of a superconducting quantum interference device (SQUID). We examine the interaction between the two transmission lines, as well as the excitation flow along the composed platform. We show that, by activating specific resonance conditions, this platform can be used as a quantum simulator of different phenomena in quantum optics, multimode quantum systems and quantum thermodynamics.