The Collaborative International Dictionary of English v.0.48:

Angelic \An*gel"ic\, Angelical \An*gel"ic*al\, a. [L. angelicus,
   Gr. ?: cf. F. ang['e]lique.]
   1. Belonging to, or proceeding from, angels; resembling,
      characteristic of, or partaking of the nature of, an
      angel; heavenly; divine. "Angelic harps."
      --Thomson."Angelical actions." --Hooker.
      [1913 Webster]

            The union of womanly tenderness and angelic
            patience.                             --Macaulay.
      [1913 Webster]

   2. having a sweet nature befitting an angel or cherub; as, an
      angelic smile.

   Syn: angelic, cherubic, seraphic, sweet.
        [WordNet 1.5]

   3. marked by utter benignity; resembling or befitting an
      angel or saint; as, angelic benificence.

   Syn: angelic, angelical, beatific, saintlike, saintly,
        sainted.
        [WordNet 1.5]

   Angelic Hymn, a very ancient hymn of the Christian Church;
      -- so called from its beginning with the song of the
      heavenly host recorded in Luke ii. 14. --Eadie.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Angelic \An*gel"ic\, a. [From Angelica.] (Chem.)
   Of or derived from angelica; as, angelic acid; angelic ether.
   [1913 Webster]

   Angelic acid, an acid obtained from angelica and some other
      plants.
      [1913 Webster]

WordNet (r) 3.0 (2006):

angelic
    adj 1: marked by utter benignity; resembling or befitting an
           angel or saint; "angelic beneficence"; "a beatific
           smile"; "a saintly concern for his fellow men"; "my
           sainted mother" [syn: angelic, angelical, beatific,
           saintlike, saintly, sainted]
    2: of or relating to angels; "angelic messenger" [syn:
       angelic, angelical]
    3: having a sweet nature befitting an angel or cherub; "an
       angelic smile"; "a cherubic face"; "looking so seraphic when
       he slept"; "a sweet disposition" [syn: angelic,
       angelical, cherubic, seraphic, sweet]

Moby Thesaurus II by Grady Ward, 1.0:

77 Moby Thesaurus words for "angelic":
   Christlike, Christly, God-fearing, admirable, adorable,
   archangelic, beatified, blameless, canonized, caressable,
   celestial, charming, cherubic, childlike, clear, cuddlesome,
   dovelike, faultless, glorified, godlike, godly, godly-minded, good,
   guiltless, heavenly, holy, holy-minded, honest, in glory,
   in the clear, incorrupt, innocent, just, kissable, lamblike,
   likable, lovable, lovely, lovesome, martyred, moral, not guilty,
   offenseless, otherworldly, prelapsarian, pristine, pure,
   pure in heart, purehearted, redeemed, reproachless, right-minded,
   righteous, sainted, saintlike, saintly, sans reproche, saved,
   seraphic, sinless, spiritual, spiritual-minded, straight, sweet,
   uncorrupted, undefiled, unearthly, unfallen, unlapsed,
   untouched by evil, unworldly, upright, virtuous, winning, winsome,
   with clean hands, without reproach