The chiral structure of weak b quark couplings has not been well tested at tree and one-loop levels, and the Cabibbo-Kobayashi-Maskawa origin of CP violation passed only its first test in B -> J/psi KS. Left-right symmetric and SUSY models permit deviations from Standard Model predictions for the chiral and weak phase structure of b quark couplings. We discuss recent proposals for testing V-A and the weak CP phases of b quark couplings by the photon helicity in radiative B decays and in B -> D* a1.