The Collaborative International Dictionary of English v.0.48:

Animality \An`i*mal"i*ty\, n. [Cf. F. animalit['e].]
   Animal existence or nature. --Locke.
   [1913 Webster]

WordNet (r) 3.0 (2006):

animality
    n 1: the physical (or animal) side of a person as opposed to the
         spirit or intellect [syn: animality, animal nature]

Moby Thesaurus II by Grady Ward, 1.0:

152 Moby Thesaurus words for "animality":
   Adam, Animalia, Gothicism, Neanderthalism, acuteness, and fish,
   animal kingdom, animal life, animalism, atrociousness, atrocity,
   barbarism, barbarity, barbarousness, bawdiness, beastliness,
   beasts, beasts of field, beasts of prey, bestiality, big game,
   birds, bloodiness, bloodlust, bloodthirst, bloodthirstiness,
   bloody-mindedness, brutality, brutalness, brute creation,
   brutishness, cannibalism, carnal nature, carnal-mindedness,
   carnality, cattle, clitoromania, coarseness, concupiscence,
   cruelness, cruelty, destructiveness, dirtiness, domestic animals,
   earthiness, eroticism, eroticomania, erotomania, extremity,
   fallen nature, fallen state, fauna, ferociousness, ferocity,
   fiendishness, fierceness, flesh, fleshliness, force, furiousness,
   furor uterinus, furry creatures, game, goatishness, grossness,
   gynecomania, harshness, horniness, hysteromania, ill breeding,
   impetuosity, impoliteness, incivility, inclemency, inhumaneness,
   inhumanity, intensity, lapsed state, lasciviousness, lecherousness,
   lechery, lewdness, libidinousness, lickerishness, livestock,
   lubriciousness, lubricity, lust, lustfulness, maleness, malignity,
   masculinity, materialism, mercilessness, mindlessness,
   murderousness, nonspirituality, nymphomania, obscenity,
   philistinism, pitilessness, postlapsarian state, prurience,
   pruriency, randiness, rigor, roughness, ruthlessness, sadism,
   sadistic cruelty, salaciousness, salacity, sanguineousness,
   satyriasis, satyrism, savagery, savagism, sensuality, severity,
   sexiness, sexuality, sharpness, small game, stock, swinishness,
   terrorism, the Old Adam, the beast, the flesh, the offending Adam,
   troglodytism, truculence, uncivilizedness, uncouthness,
   uncultivatedness, uncultivation, unculturedness, ungentleness,
   unrefinement, unspirituality, uteromania, vandalism, vehemence,
   venom, viciousness, violence, virility, virulence, wanton cruelty,
   wild animals, wildlife, wildness