Pilgrimage rhymes with:
damage, dulmage, homage, image, plumage, adage, anchorage, assemblage, baggage, bugaj, cabbage, carthage, cartilage, cartridge, cleavage, concubinage, cooperage, cordage, cottage, courage, coverage, damage, dosage, drainage, dulmage, dunaj, grapage, heritage, hermitage, homage, image, knowledge, language, leakage, lineage, linkage, lovage, luggage, manage, message, mileage, mintage, miscarriage, mortgage, newedge, orphanage, outage, package, parentage, partridge, passage, peerage, percentage, plumage, porridge, portage, postage, prepackage, privilege, sacrilege, salvage, sarage, sausage, savage, sewage, shortage, spoilage, storage, tonnage, usage, vantage, village, visage, voltage, voyage, wattage, wreckage
Pilgrimage sounds like:
pilgrim's, pilgrimages, pilgrims, polygram's