  We derive a new class of supersymmetric D3/D7 brane configurations, which
allow to holographically describe N=4 SYM coupled to massive N=2 flavor degrees
of freedom on spaces of constant curvature. We systematically solve the
$\kappa$-symmetry condition for D7-brane embeddings into AdS$_4$-sliced
AdS$_5\times$S$^5$, and find supersymmetric embeddings in a simple closed form.
Up to a critical mass, these embeddings come in surprisingly diverse families,
and we present a first study of their (holographic) phenomenology. We carry out
the holographic renormalization, compute the one-point functions and attempt a
field-theoretic interpretation of the different families. To complete the
catalog of supersymmetric D3/D7 configurations, we construct analogous
embeddings for flavored N=4 SYM on S$^4$ and dS$_4$.
