The Collaborative International Dictionary of English v.0.48:

Peculiarly \Pe*cul"iar*ly\, adv.
   In a peculiar manner; particularly; in a rare and striking
   degree; unusually.
   [1913 Webster]

WordNet (r) 3.0 (2006):

peculiarly
    adv 1: uniquely or characteristically; "these peculiarly
           cinematic elements"; "a peculiarly French phenomenon";
           "everyone has a moment in history which belongs
           particularly to him"- John Knowles [syn: peculiarly,
           particularly]
    2: in a manner differing from the usual or expected; "had a
       curiously husky voice"; "he's behaving rather peculiarly"
       [syn: curiously, oddly, peculiarly]
    3: to a distinctly greater extent or degree than is common; "he
       was particularly fussy about spelling"; "a particularly
       gruesome attack"; "under peculiarly tragic circumstances";
       "an especially (or specially) cautious approach to the
       danger" [syn: particularly, peculiarly, especially,
       specially]

Moby Thesaurus II by Grady Ward, 1.0:

85 Moby Thesaurus words for "peculiarly":
   a fortiori, above all, abundantly, acutely, all the more,
   amazingly, amply, astonishingly, awesomely, characteristically,
   chiefly, conspicuously, copiously, distinctively, dominantly,
   eerily, eminently, emphatically, especially, even, ever so,
   exceptionally, exquisitely, extraordinarily, exuberantly, famously,
   fancifully, fantastically, first of all, generously, glaringly,
   grotesquely, impressively, in chief, in the main, incredibly,
   indeed, intensely, intrinsically, like no other, magically,
   magnanimously, magnificently, mainly, markedly, marvelously,
   monstrously, more than ever, mostly, mysteriously, never so,
   no end, nobly, notably, outlandishly, particularly, pointedly,
   predominantly, preeminently, primarily, principally, profusely,
   prominently, pronouncedly, quaintly, queerly, remarkably, richly,
   signally, singularly, splendidly, still more, strangely,
   strikingly, superlatively, supernaturally, surpassingly,
   surprisingly, uncommonly, uniquely, unusually, wonderfully,
   wondrous, worthily, yea