Monsignors rhymes with:
seniors, seniors, conyers, junior's, juniors, seniors, tenures, behaviors, clothiers, collier's, colliers, conyers, dockiers, duvaliers, elsevier's, failures, figure's, figures, hoosiers, hoteliers, junior's, juniors, lawyer's, lawyers, lawyers', megacarriers, pedicures, savior's, saviors, sawyer's, sawyers, seniors, tenures, villiers
Monsignors sounds like:
machineries, magaziner's, manzanares, mckenrick, mcmorris, mcnamara's, mesmerize, michener's, missionaries