The Collaborative International Dictionary of English v.0.48:

Pilgrimage \Pil"grim*age\, n. [OE. pilgrimage, pelgrinage; cf.
   F. p[`e]lerinage.]
   1. The journey of a pilgrim; a long journey; especially, a
      journey to a shrine or other sacred place. Fig., the
      journey of human life. --Shak.
      [1913 Webster]

            The days of the years of my pilgrimage. --Gen.
                                                  xlvii. 9.
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   2. A tedious and wearisome time.
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            In prison hast thou spent a pilgrimage. --Shak.
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   Syn: Journey; tour; excursion. See Journey.
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WordNet (r) 3.0 (2006):

pilgrimage
    n 1: a journey to a sacred place [syn: pilgrimage, pilgrim's
         journey]

Moby Thesaurus II by Grady Ward, 1.0:

50 Moby Thesaurus words for "pilgrimage":
   adventure, campaign, circuit, course, cruise, crusade, emprise,
   excursion, expedition, exploration, fare, globe-trot, go abroad,
   go on safari, go overseas, grand tour, hit the trail, jaunt,
   journey, junket, make a journey, make a pilgrimage, make a trip,
   mission, outing, package tour, peregrinate, peregrination, pilgrim,
   pleasure trip, progress, quest, range the world, round trip,
   rubberneck, rubberneck tour, run, safari, sally, shoot, sight-see,
   stalk, take a trip, take the road, tour, trek, trip, turn, voyage,
   wayfare