  Coulomb displacement energies, i.e., the differences between the energies of
corresponding nuclear states in mirror nuclei, are evaluated using recent
models for the nucleon-nucleon (NN) interaction. These modern NN potentials
account for breaking of isospin symmetry and reproduce $pp$ and $pn$ phase
shifts accurately. The predictions by these new potentials for the binding of
$^{16}O$ are calculated. A particular focus of our study are effects due to
nuclear correlations and charge-symmetry breaking (CSB). We find that the CSB
terms in the modern NN interactions substantially reduce the discrepancy
between theory and experiment for the Coulomb displacement energies; however,
our calculations do not completely explain the Nolen-Schiffer anomaly.
Potential sources for the remaining discrepancies are discussed.
