The Collaborative International Dictionary of English v.0.48:

Bleary \Blear"y\, a.
   Somewhat blear.
   [1913 Webster]

WordNet (r) 3.0 (2006):

bleary
    adj 1: tired to the point of exhaustion [syn: bleary, blear,
           bleary-eyed, blear-eyed]
    2: indistinct or hazy in outline; "a landscape of blurred
       outlines"; "the trees were just blurry shapes" [syn:
       bleary, blurred, blurry, foggy, fuzzy, hazy,
       muzzy]

Moby Thesaurus II by Grady Ward, 1.0:

45 Moby Thesaurus words for "bleary":
   all in, blear, bleared, blurred, blurry, confused, dark, depleted,
   dim, drained, exhausted, faint, far-gone, feeble, filmy, foggy,
   fuzzy, half-seen, half-visible, hazy, ill-defined, inconspicuous,
   indefinite, indistinct, indistinguishable, low-profile,
   merely glimpsed, misty, obscure, out of focus, pale, semivisible,
   shadowy, spent, uncertain, unclear, undefined, undetermined,
   unplain, unrecognizable, used up, vague, washed-out, weak,
   worn-out