  We propose a coherent explanation for the 750 GeV diphoton anomaly and the
hints of deviations from Lepton Flavor Universality in B decays in terms a new
strongly interacting sector with vectorlike confinement. The diphoton excess
arises from the decay of one of the pseudo-Nambu-Goldstone bosons of the new
sector, while the flavor anomalies are a manifestation of the exchange of the
corresponding vector resonances (with masses in the 1.5-2.5 TeV range). We
provide explicit examples (with detailed particle content and group structure)
of the new sector, discussing both the low-energy flavor-physics phenomenology
and the signatures at high $p_T$. We show that specific models can provide an
excellent fit to all available data. A key feature of all realizations is a
sizable broad excess in the tails of $\tau^+ \tau^-$ invariant mass
distribution in $p p \to \tau^+ \tau^-$, that should be accessible at the LHC
in the near future.
