The Collaborative International Dictionary of English v.0.48:

Animism \An"i*mism\, n. [Cf. F. animisme, fr. L. anima soul. See
   Animate.]
   1. The doctrine, taught by Stahl, that the soul is the proper
      principle of life and development in the body.
      [1913 Webster]

   2. The belief that inanimate objects and the phenomena of
      nature are endowed with personal life or a living soul;
      also, in an extended sense, the belief in the existence of
      soul or spirit apart from matter. --Tylor.
      [1913 Webster]

WordNet (r) 3.0 (2006):

animism
    n 1: the doctrine that all natural objects and the universe
         itself have souls; "animism is common among primitive
         peoples"

Moby Thesaurus II by Grady Ward, 1.0:

31 Moby Thesaurus words for "animism":
   Berkeleianism, Hegelianism, Kantianism, Neoplatonism,
   Platonic form, Platonic idea, Platonism, absolute idealism,
   allotheism, animatism, form, heathendom, heathenism, heathenry,
   hylozoism, idealism, idolatry, immaterialism,
   metaphysical idealism, monistic idealism, pagandom, paganism,
   paganry, panpsychism, personalism, psychism, solipsism,
   spiritualism, subjectivism, transcendental, universal