Rhenium does the job! A readily available rhenium complex efficiently catalyzed the direct Meyer-Schuster-like rearrangement of different alkyl- and aryl-substituted propargylic secondary and tertiary alcohols to the corresponding alpha,beta-unsaturated compounds, which were produced with virtually complete E stereoselectivity. The reaction proceeded under neutral conditions and no racemization of potentially enolizable stereocenters was observed.