[en] We report on our studies of B→K_Jl⁺l^- in the standard model and several new physics variations, with K_J denoting a kaonic resonance. In terms of helicity amplitudes, we derive a compact form for the full angular distributions, and use them to calculate the branching ratios, forward-backward asymmetries and polarizations. We have updated the constraints on effective Wilson coefficients and/or free parameters in these new physics scenarios by making use of the B→K^*l⁺l^- and b→sl⁺l^- experimental data. Their impact on B→K^*_Jl⁺l^- is subsequently explored and in particular the zero-crossing point for forward-backward asymmetry in new physics scenarios can sizably deviate from the standard model.