The Collaborative International Dictionary of English v.0.48:

Broadly \Broad"ly\, adv.
   In a broad manner.
   [1913 Webster]

WordNet (r) 3.0 (2006):

broadly
    adv 1: without regard to specific details or exceptions; "he
           interprets the law broadly" [syn: broadly, loosely,
           broadly speaking, generally] [ant: narrowly]
    2: in a wide fashion; "he smiled broadly"

Moby Thesaurus II by Grady Ward, 1.0:

86 Moby Thesaurus words for "broadly":
   abroad, absurdly, all in all, all joking aside,
   all things considered, altogether, amusingly, as a rule,
   as a whole, as an approximation, at large, bizarrely, bluffly,
   bluntly, broadly speaking, brusquely, by and large, candidly,
   chiefly, comically, commonly, directly, distantly and broadly,
   drolly, eccentrically, extensively, far and near, far and wide,
   farcically, frankly, funnily, generally, generally speaking,
   genuinely, humorously, in all conscience, in all seriousness,
   in general, in plain English, in plain words, incongruously,
   indecisively, indefinably, indefinitely, indeterminably,
   indistinctly, infinitely, laughably, mainly, mostly, normally,
   obscurely, on all sides, on balance, on every side, on the whole,
   openheartedly, openly, ordinarily, outspokenly, overall,
   plain-spokenly, plainly, predominantly, prevailingly, quaintly,
   ridiculously, right and left, roughly, roughly speaking, roundly,
   routinely, sincerely, speaking generally, straightforwardly,
   unconstrainedly, unreservedly, unrestrainedly, usually, vaguely,
   vastly, whimsically, wide, widely, with no nonsense, wittily