The Collaborative International Dictionary of English v.0.48:

Likable \Lik"a*ble\ (l[imac]k"[.a]*b'l), a.
   Such as can be liked; such as to attract liking; easy to
   like; evoking sympathy; as, a likable person. --Thackeray.
   [WordNet sense 1+2]

   Syn: appealing, likable.
        [1913 Webster + WordNet 1.5]

   2. disposed to please. [WordNet sense 3]

   Syn: amiable, agreeable, good-humored, good-humoured,
        likable.
        [WordNet 1.5]

WordNet (r) 3.0 (2006):

likable
    adj 1: (of characters in literature or drama) evoking empathic
           or sympathetic feelings; "the sympathetic characters in
           the play" [syn: sympathetic, appealing, likeable,
           likable] [ant: unappealing, unlikable,
           unlikeable, unsympathetic]
    2: easy to like; agreeable; "an attractive and likable young
       man" [syn: likable, likeable]

Moby Thesaurus II by Grady Ward, 1.0:

93 Moby Thesaurus words for "likable":
   acceptable, admirable, adorable, affable, agreeable, ambrosial,
   amiable, amicable, angelic, appetizing, attractive, blissful,
   caressable, charming, cheerful, compatible, complaisant, congenial,
   cordial, cuddlesome, dainty, delectable, delicate, delicious,
   delightful, desirable, dulcet, en rapport, enjoyable, enviable,
   exciting, exquisite, fair, fair and pleasant, felicific,
   felicitous, fine, genial, good, good to eat, good-tasting, goodly,
   gracious, grateful, gratifying, gustable, gusty, harmonious,
   heart-warming, honeyed, juicy, kissable, lovable, lovely, lovesome,
   luscious, lush, mellifluous, mellow, mouth-watering, nectareous,
   nectarous, nice, of gourmet quality, palatable, pleasant, pleasing,
   pleasurable, pleasure-giving, pleasureful, provocative, rewarding,
   sapid, satisfying, savorous, savory, scrumptious, seductive,
   seraphic, succulent, sweet, taking, tantalizing, tasty, tempting,
   to be desired, toothsome, unobjectionable, welcome, winning,
   winsome, worth having, yummy