The Collaborative International Dictionary of English v.0.48:

Annoy \An*noy"\ ([a^]n*noi"), v. t. [imp. & p. p. Annoyed
   ([a^]n*noid"); p. pr. & vb. n. Annoying.] [OE. anoien,
   anuien, OF. anoier, anuier, F. ennuyer, fr. OF. anoi, anui,
   enui, annoyance, vexation, F. ennui. See Annoy, n.]
   To disturb or irritate, especially by continued or repeated
   acts; to tease; to ruffle in mind; to vex; as, I was annoyed
   by his remarks.
   [1913 Webster]

         Say, what can more our tortured souls annoy
         Than to behold, admire, and lose our joy? --Prior.
   [1913 Webster]

   2. To molest, incommode, or harm; as, to annoy an army by
      impeding its march, or by a cannonade.
      [1913 Webster]

   Syn: To molest; vex; trouble; pester; embarrass; perplex;
        tease.
        [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Annoy \An*noy"\, n. [OE. anoi, anui, OF. anoi, anui, enui, fr.
   L. in odio hatred (esse alicui in odio, Cic.). See Ennui,
   Odium, Noisome, Noy.]
   A feeling of discomfort or vexation caused by what one
   dislikes; also, whatever causes such a feeling; as, to work
   annoy.
   [1913 Webster]

         Worse than Tantalus' is her annoy.       --Shak.
   [1913 Webster]

WordNet (r) 3.0 (2006):

annoy
    v 1: cause annoyance in; disturb, especially by minor
         irritations; "Mosquitoes buzzing in my ear really bothers
         me"; "It irritates me that she never closes the door after
         she leaves" [syn: annoy, rag, get to, bother, get
         at, irritate, rile, nark, nettle, gravel, vex,
         chafe, devil]

Moby Thesaurus II by Grady Ward, 1.0:

145 Moby Thesaurus words for "annoy":
   abrade, agent provocateur, aggravate, agitate, amplify, arouse,
   augment, awake, awaken, badger, bait, be at, bedevil, beleaguer,
   beset, blow the coals, blow up, bother, bristle, brown off, bug,
   build up, bullyrag, burn up, call forth, call up, chafe, chivy,
   deepen, deteriorate, devil, discompose, distemper, distress,
   disturb, dog, embitter, enhance, enkindle, enlarge, enrage,
   exacerbate, exasperate, excite, exercise, fan, fan the fire,
   fan the flame, fash, feed the fire, fire, flame, foment, frenzy,
   fret, gall, get, get at, gnaw, gripe, harass, harry, hassle, heat,
   heat up, heckle, hector, heighten, hot up, hound, huff, impassion,
   incense, incite, increase, inflame, infuriate, intensify, irk,
   irritate, key up, kindle, lather up, light the fuse, light up,
   madden, magnify, make acute, make worse, miff, molest, move, nag,
   needle, nettle, nudzh, overexcite, peeve, persecute, perturb,
   pester, pick on, pique, plague, pluck the beard, pother, provoke,
   rankle, ride, rile, roil, rouse, rub, ruffle, set astir,
   set fire to, set on fire, set up, sharpen, sour, steam up, stir,
   stir the blood, stir the embers, stir the feelings, stir up,
   summon up, tease, torment, trouble, try the patience, turn on,
   tweak the nose, upset, vex, wake, wake up, waken, warm,
   warm the blood, whip up, work into, work up, worry, worsen