  We solve the Killing spinor equations for all near-horizon IIB geometries
which preserve at least one supersymmetry. We show that generic horizon
sections are 8-dimensional almost Hermitian spin${}_c$ manifolds. Special cases
include horizon sections with a $Spin(7)$ structure and those for which the
Killing spinor is pure. We also explain how the common sector horizons and the
horizons with only 5-form flux are included in our general analysis. We
investigate several special cases mainly focusing on the horizons with constant
scalars admitting a pure Killing spinor and find that some of these exhibit a
generalization of the 2-SCYT condition that arises in the horizons with 5-form
fluxes only. We use this to construct new examples of near-horizon geometries
with both 3-form and 5-form fluxes.
