  In this work we present the eigenspectra of a novel species of Wannier
excitons when exposed to crossed electric and magnetic fields. In particular,
we compute the eigenenergies of giant-dipole excitons in
$\textrm{Cu}_2\textrm{O}$ in crossed fields. In our theoretical approach, we
calculate the excitonic spectra within both an approximate as well as a
numerically exact approach for arbitrary field configurations. We verify that
stable bound excitonic giant-dipole states are only possible in the strong
magnetic field limit, as this is the only regime providing sufficiently deep
potential wells for their existence. Comparing both analytic as well as
numerical calculations, we obtain excitonic giant-dipole spectra with level
spacings in the range of $0.6\ldots100\, \mu \textrm{eV}$.
