  We systematically analyse globally consistent SU(5) GUT models on
intersecting D7-branes in genuine Calabi-Yau orientifolds with O3- and
O7-planes. Beyond the well-known tadpole and K-theory cancellation conditions
there exist a number of additional subtle but quite restrictive constraints.
For the realisation of SU(5) GUTs with gauge symmetry breaking via U(1)_Y flux
we present two classes of suitable Calabi-Yau manifolds defined via del Pezzo
transitions of the elliptically fibred hypersurface P_{1,1,1,6,9}[18] and of
the Quintic P_{1,1,1,1,1}[5], respectively. To define an orientifold projection
we classify all involutions on del Pezzo surfaces. We work out the model
building prospects of these geometries and present five globally consistent
string GUT models in detail, including a 3-generation SU(5) model with no
exotics whatsoever. We also realise other phenomenological features such as the
10 10 5 Yukawa coupling and comment on the possibility of moduli stabilisation,
where we find an entire new set of so-called swiss-cheese type Calabi-Yau
manifolds. It is expected that both the general constrained structure and the
concrete models lift to F-theory vacua on compact Calabi-Yau fourfolds.
