  We have investigated exclusive, radiative B meson decays to charmless mesons
(\rho, \omega, \phi, K^*(892), K^*_2(1430)) in 9.7\times 10^6 BBbar decays
accumulated with the CLEO detector. The B -> K^*(892)\gamma branching fractions
are determined to be Br(B^0 -> K^{*0}(892)\gamma) = (4.55 +0.72-0.68
+-0.34)\times 10^-5 and Br(B^+ -> K^{*+}(892)\gamma) = (3.76 +0.89-0.83
+-0.28)\times 10^-5. We have searched for CP asymmetry in B -> K^*(892)\gamma
decays and measure Acp = +0.08 +-0.13 +-0.03. We also report the first
observation of the decay B -> K^*_2(1430)\gamma with a branching fraction of
(1.66 +0.59-0.53 +-0.13)\times 10^-5 and determine $Br(B ->
K^*_2(1430)\gamma)/Br(B -> K^*(892)\gamma) = 0.39 +0.15-0.13 consistent with
only one of two available theoretical models. No significant evidence for the
decays B -> \rho\gamma and B^0 -> \omega\gamma is found and we limit Br(B ->
(\rho/\omega)\gamma)/Br(B -> K^{*}(892)\gamma) < 0.32 at 90% CL. We also find
no evidence for the exotic decay B^0 -> \phi\gamma.
