We review recent ATLAS measurements of neutral electroweak boson pair production in 13 TeV proton collisions at the LHC, inclusive with respect to any associated hadronic jet activity. The measured integrated and differential cross sections are compared to state-of-the-art theoretical predictions. The agreement is generally good, with some interesting small deviating trends. Some of the measurements are used to search for high-mass new physics effects in an effective anomalous triple gauge coupling approach. No new physics is observed and constraints on the coefficients of the considered anomalous coupling operators are obtained.