We estimate the dilepton and photon production rate from an SU(3) plasma at temperatures of about 1.1 Tc to 1.5 Tc. Lattice results for the vector current correlator at zero and non-zero momenta are extrapolated to the continuum limit and analyzed with the help of phenomenological and perturbative input for the corresponding spectral functions. We compare our results with NLO weak-coupling results, hydrodynamics, and a holographic model. At vanishing invariant mass we extract the photon rate which for k>3T is found to be close to the NLO weak-coupling prediction. For k