W + W − production is one of the golden channels for testing the Standard Model as well for searches beyond the Standard Model. We discuss many new subleading processes for inclusive production of W + W − pairs generally not included in the literature so far. We focus on photon-photon induced processes. We include elastic-elastic, elastic-inelastic, inelastic-elastic and inelastic-inelastic contributions. We also calculate the contributions with resolved photons including the partonic substructure of the virtual photon. Predictions for the total cross section and differential distributions in W -boson rapidity and transverse momentum as well as W W invariant mass are presented. The γγ components constitute only about 1-2 % of the inclusive W + W − cross section but increases up to about 10 % at large W ± transverse momenta, and are even comparable to the dominant qq component at large M W W , i.e. are much larger than the gg → W + W − one.