The Collaborative International Dictionary of English v.0.48:

Woody \Wood"y\, a.
   1. Abounding with wood or woods; as, woody land. "The woody
      wilderness." --Bryant.
      [1913 Webster]

            Secret shades
            Of woody Ida's inmost grove.          --Milton.
      [1913 Webster]

   2. Consisting of, or containing, wood or woody fiber;
      ligneous; as, the woody parts of plants.
      [1913 Webster]

   3. Of or pertaining to woods; sylvan. [R.] "Woody nymphs,
      fair Hamadryades." --Spenser.
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   Woody fiber. (Bot.)
      (a) Fiber or tissue consisting of slender, membranous
          tubes tapering at each end.
      (b) A single wood cell. See under Wood. --Goodale.

   Woody nightshade. (Bot.). See Bittersweet, 3
      (a) .

   Woody pear (Bot.), the inedible, woody, pear-shaped fruit
      of several Australian proteaceous trees of the genus
      Xylomelum; -- called also wooden pear.
      [1913 Webster]

WordNet (r) 3.0 (2006):

woody
    adj 1: made of or containing or resembling wood; "woody plants";
           "perennial herbs with woody stems"; "a woody taste" [ant:
           nonwoody]
    2: abounding in trees; "an arboreous landscape"; "violets in
       woodsy shady spots"; "a woody area near the highway" [syn:
       arboraceous, arboreous, woodsy, woody]
    3: made hard like wood as the result of the deposition of lignin
       in the cell walls

Moby Thesaurus II by Grady Ward, 1.0:

19 Moby Thesaurus words for "woody":
   afforestational, arboreous, bosky, braky, bushy, copsy,
   dendrologic, forest, forestal, forested, reforestational, scrubby,
   shrubby, silvicultural, sylvan, timbered, wooded, woodland,
   woodsy