Pilgrimages rhymes with:
acknowledges, advantages, appendages, arrearages, average's, averages, babbage's, beverages, blockages, brokerage's, brokerages, brokerages', cabbages, cardiges, carriages, claridges, college's, colleges, colleges', cottages, disadvantages, discourages, disparages, dosages, encourages, envisages, heritage's, hostages', lineages, linkages, manages, marriages, miscarriages, mortgage's, orphanages, outages, package's, partridges, percentages, pillages, porterages, presages, ravages, repackages, sausages, stockbrokerages, stoppages, vantage's, vantages, vestiges, village's, vintages, voltage's, wantages
Pilgrimages sounds like:
pilgrim's, pilgrimage, pilgrims, polygram's