Isolated photon and diphoton production in proton-proton (and nucleus-nucleus) collisions provides various "clean" observables for precision QCD studies as well as for new physics searches at the LHC. I will report on the latest experimental measurements at the LHC of (i) isolated-photon pT spectra as a means to constrain the gluon distribution in the proton (and lead nucleus), (ii) diphoton continuum cross sections as a sensitive test of higher-order perturbative QCD corrections, and (iii) diphoton mass distributions from the decay of the Higgs boson and searches of new high-mass states.