  The measurements of the two-photon production of the Higgs boson and of
$W^{\pm}$ boson pairs in $e^{+}e^{-}$ collisions at the Future Circular
Collider (FCC-ee) are investigated. The processes
$e^{+}e^{-}\xrightarrow{\gamma \gamma}e^+\,{\rm H}\,e^-,e^+\,{\rm W^+W^-}\,e^-$
are computed using the effective photon approximation for electron-positron
beams, and studied in their ${\rm H}\to b\bar{b}$ and ${\rm W^+W^-}\to 4j$
decay final-states including parton showering and hadronization, jet
reconstruction, $e^\pm$ forward tagging, and realistic experimental cuts. After
selection criteria, up to 75 Higgs bosons and 6600 $\rm W^{\pm}$ pairs will be
reconstructed on top of controllable continuum backgrounds at $\sqrt{s} = $240
and 350 GeV for the total expected integrated luminosities, by tagging the
scattered $e^\pm$ with near-beam detectors. A 5$\sigma$ observation of $\gamma
\gamma \to$H is thereby warranted, as well as high-statistics studies of triple
$\rm \gamma WW$ and quartic $\rm \gamma\gamma WW$ electroweak couplings,
improving by at least factors of 2 and 10 the current limits on dimension-6
anomalous quartic gauge couplings.
