  We uncover topological features of neutral particle-hole pair excitations of
correlated quantum anomalous Hall (QAH) insulators whose approximately flat
conduction and valence bands have equal and opposite non-zero Chern number.
Using an exactly solvable model we show that the underlying band topology
affects both the center-of-mass and relative motion of particle-hole bound
states. This leads to the formation of topological exciton bands whose features
are robust to nonuniformity of both the dispersion and the Berry curvature. We
apply these ideas to recently-reported broken-symmetry spontaneous QAH
insulators in substrate aligned magic-angle twisted bilayer graphene.
