The Collaborative International Dictionary of English v.0.48:

Famously \Fa"mous*ly\, adv.
   In a famous manner; in a distinguished degree; greatly;
   splendidly.
   [1913 Webster]

         Then this land was famously enriched
         With politic grave counsel.              --Shak.
   [1913 Webster]

WordNet (r) 3.0 (2006):

famously
    adv 1: in a manner or to an extent that is well known; "in his
           famously anecdotal style"
    2: extremely well; "he did splendidly in the exam"; "we got
       along famously" [syn: excellently, magnificently,
       splendidly, famously]

Moby Thesaurus II by Grady Ward, 1.0:

65 Moby Thesaurus words for "famously":
   abundantly, acutely, amazingly, amply, aright, astonishingly,
   awesomely, capitally, celebratedly, conspicuously, copiously,
   eminently, emphatically, excellently, exceptionally, exquisitely,
   extraordinarily, exuberantly, fine, finely, generously, glaringly,
   gloriously, impressively, incredibly, intensely, magically,
   magnanimously, magnificently, markedly, marvelously, nicely, nobly,
   notably, notedly, notoriously, outstandingly, particularly,
   peculiarly, pointedly, popularly, preeminently, profusely,
   prominently, pronouncedly, remarkably, richly, right, royally,
   signally, singularly, spectacularly, splendidly, strikingly,
   superbly, superlatively, surpassingly, surprisingly, uncommonly,
   unusually, very well, well, wonderfully, wondrous, worthily