  Recent BaBar results on rare B decays involving flavour-changing neutral
currents or purely leptonic final states are presented. New measurements of the
CP asymmetries in B -> K* gamma, B -> K*2(1430) gamma, and b -> s gamma are
reported, as well as a new measurement of the B -> K* gamma branching fraction.
Also reported are updated limits on B -> mu nu and recent measurements of B ->
K* l+ l- and b -> s l+ l-. The data sample comprises 123 10^6 Y4S -> B Bbar
decays collected with the BaBar detector at the PEP-II e+e- storage ring.
