The Collaborative International Dictionary of English v.0.48:

Rhapsodize \Rhap"so*dize\, v. t. [imp. & p. p. Rhapsodized; p.
   pr. & vb. n. Rhapsodizing.]
   To utter as a rhapsody, or in the manner of a rhapsody
   --Sterne.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Rhapsodize \Rhap"so*dize\, v. i.
   To utter rhapsodies. --Jefferson.
   [1913 Webster]

WordNet (r) 3.0 (2006):

rhapsodize
    v 1: recite a rhapsody [syn: rhapsodize, rhapsodise]
    2: say (something) with great enthusiasm [syn: rhapsodize,
       rhapsodise]

Moby Thesaurus II by Grady Ward, 1.0:

22 Moby Thesaurus words for "rhapsodize":
   acclaim, be enthusiastic, bubble over, carry on over, drool,
   effervesce, enthuse, extol, go on over, gush, gush over, idealize,
   make much of, praise, quixotize, rave, rave about, rhapsody,
   romance, romanticize, take on over, utopianize