The Collaborative International Dictionary of English v.0.48:

Traditionally \Tra*di"tion*al*ly\, adv.
   In a traditional manner.
   [1913 Webster]

WordNet (r) 3.0 (2006):

traditionally
    adv 1: according to tradition; in a traditional manner;
           "traditionally, we eat fried foods on Hanukah"

Moby Thesaurus II by Grady Ward, 1.0:

22 Moby Thesaurus words for "traditionally":
   according to use, anally, as is proper, comme il faut,
   complaisantly, compliantly, compulsively, conformably,
   conformingly, conventionally, correctly, customarily, decorously,
   flexibly, malleably, obediently, orthodoxly, pedantically,
   pliantly, properly, submissively, yieldingly