The Collaborative International Dictionary of English v.0.48:

Generally \Gen"er*al*ly\, adv.
   1. In general; commonly; extensively, though not universally;
      most frequently.
      [1913 Webster]

   2. In a general way, or in general relation; in the main;
      upon the whole; comprehensively.
      [1913 Webster]

            Generally speaking, they live very quietly.
                                                  --Addison.
      [1913 Webster]

   3. Collectively; as a whole; without omissions. [Obs.]
      [1913 Webster]

            I counsel that all Israel be generally gathered unto
            thee.                                 --2 Sam. xvii.
                                                  ll.
      [1913 Webster]

WordNet (r) 3.0 (2006):

generally
    adv 1: usually; as a rule; "by and large it doesn't rain much
           here" [syn: by and large, generally, more often than
           not, mostly]
    2: without distinction of one from others; "he is interested in
       snakes in general" [syn: generally, in general, in the
       main] [ant: specifically]
    3: without regard to specific details or exceptions; "he
       interprets the law broadly" [syn: broadly, loosely,
       broadly speaking, generally] [ant: narrowly]

Moby Thesaurus II by Grady Ward, 1.0:

63 Moby Thesaurus words for "generally":
   about, all in all, all things considered, altogether,
   approximately, approximatively, as a rule, as a whole,
   as an approximation, as per usual, as things go, as usual,
   at large, broadly, broadly speaking, by and large, chiefly,
   commonly, conventionally, customarily, generally speaking,
   habitually, in general, in round numbers, in the main,
   indecisively, indefinably, indefinitely, indeterminably,
   indistinctly, largely, loosely, mainly, more or less, most often,
   mostly, naturally, normally, normatively, obscurely, on balance,
   on the average, on the whole, ordinarily, overall, practically,
   predominantly, prescriptively, prevailingly, primarily,
   principally, regularly, roughly, roughly speaking, roundly,
   routinely, say, speaking generally, superficially, to be expected,
   typically, usually, vaguely