The Collaborative International Dictionary of English v.0.48:

Producer \Pro*du"cer\, n.
   [1913 Webster]
   1. One who produces, brings forth, or generates.
      [1913 Webster]

   2. One who grows agricultural products, or manufactures crude
      materials into articles of use.
      [1913 Webster]

   3. (Iron & Steel Manuf.) A furnace for producing combustible
      gas which is used for fuel.
      [1913 Webster]

WordNet (r) 3.0 (2006):

producer
    n 1: someone who manufactures something [syn: manufacturer,
         producer]
    2: someone who finds financing for and supervises the making and
       presentation of a show (play or film or program or similar
       work)
    3: something that produces; "Maine is a leading producer of
       potatoes"; "this microorganism is a producer of disease"

Moby Thesaurus II by Grady Ward, 1.0:

112 Moby Thesaurus words for "producer":
   MC, actor, administrator, agent, ancestors, apprentice, architect,
   artificer, artist, auteur, author, ballyhoo man, barker, begetter,
   beginner, builder, callboy, catalyst, causer, conceiver, conductor,
   constructor, costume designer, costumer, costumier, craftsman,
   creator, deputy, designer, deviser, directeur, director,
   discoverer, doer, effector, emcee, engenderer, engineer,
   equestrian director, executant, executor, executrix, exhibitor,
   fabricator, farmer, father, founder, generator, governor, grower,
   impresario, inaugurator, industrialist, initiator, inspirer,
   instigator, institutor, intendant, introducer, inventor,
   journeyman, maker, makeup man, manager, manufacturer, master,
   master craftsman, master of ceremonies, medium, mother, mover,
   operant, operative, operator, organizer, originator, parent,
   past master, performer, perpetrator, planner, playreader,
   practitioner, precursor, prime mover, primum mobile, processor,
   prompter, raiser, realizer, rector, responsible person, ringmaster,
   scenewright, set designer, shaper, showman, sire, smith, spieler,
   stage director, stage manager, subject, supercargo, theater man,
   theatrician, ticket collector, usher, usherer, usherette, worker,
   wright