The Collaborative International Dictionary of English v.0.48:

Reciter \Re*cit"er\ (r[-e]*s[imac]t"[~e]r), n.
   One who recites; also, a book of extracts for recitation.
   [1913 Webster]

WordNet (r) 3.0 (2006):

reciter
    n 1: someone who recites from memory

Moby Thesaurus II by Grady Ward, 1.0:

74 Moby Thesaurus words for "reciter":
   Roscius, actor, actress, anecdotist, antagonist, bad guy,
   barnstormer, character, character actor, character man,
   character woman, child actor, diseur, diseuse, dramatizer,
   elocutioner, elocutionist, fableist, fabler, fabulist, feeder,
   fictionist, foil, heavy, histrio, histrion, improvisator,
   improvvisatore, ingenue, juvenile, matinee idol, mime, mimer,
   mimic, monologist, mummer, mythmaker, mythopoet, narrator,
   novelettist, novelist, pantomime, pantomimist, playactor, player,
   protean actor, raconteur, reader, recitationist, recounter,
   relator, romancer, romancist, sagaman, short-story writer,
   soubrette, spinner of yarns, stage performer, stage player, stooge,
   storier, storyteller, straight man, stroller, strolling player,
   taleteller, teller of tales, theatrical, thespian, trouper,
   utility man, villain, word painter, yarn spinner