Egress rhymes with:
aggress, digress, gress, transgress, aggress, bress, bresse, cress, depress, digress, distress, dress, express, express', fluoresce, gress, impress, kress, kresse, l'express, oppress, press, press', presse, redress, repress, ress, stress, suppress, transgress, tress, undress
Egress sounds like:
eckrich, eggers, egregious, escarcega, esquire's, exercise, exercises