Setups other learners found interesting in Double Pendulum. Try one, then tweak it.
A second pendulum hangs from the end of the first. The system has just two degrees of freedom, yet its motion is famously chaotic: run it twice from almost-identical starts and the arms soon diverge. This simulation integrates the exact Lagrangian equations for the two angles rather than using a constraint solver, so the chaos is physical and not a numerical artefact.