We comment on the generalization of the previously given axioms for nonrelativistic quantum mechanics to (generic) noncommutative configuration spaces. We also give a detailed account of the examples $C^\infty (\CQ)\otimes M_n(\C)$ which leads to nonabelian Yang-Mills theories. We also examine models over the Moyal-deformed plane $\R^2_\theta$. We show that in this case the canonical uncertainty relation $[x_k, \dot{x}_l] = ig_{kl}$ on a manifold with metric $g_{kl}$ is only consistent if $g_{kl}$ is constant.