Distributions of transverse momentum pℓℓT and the angular variable ϕ∗η of Drell-Yan lepton pairs are measured in 20.3fb−1 of proton-proton collisions at √s=8\,TeV with the ATLAS detector at the LHC. Measurements in electron-pair and muon-pair final states are corrected for detector effects. Compared to previous measurements in proton--proton collisions at √s=7 TeV, these new measurements benefit from a larger data sample and improved control of systematic uncertainties. Measurements are performed in bins of lepton-pair mass above, around and below the Z-boson mass peak. Specify the lepton channel (default is Z->ee) by using the LMODE variable. Only individual channels are available as particle-level measurements.