The Collaborative International Dictionary of English v.0.48:

Anarchic \A*nar"chic\, Anarchical \A*nar"chic*al\, a. [Cf. F.
   anarchique.]
   Pertaining to anarchy; without rule or government; in
   political confusion; tending to produce anarchy; as, anarchic
   despotism; anarchical opinions.
   [1913 Webster]

WordNet (r) 3.0 (2006):

anarchic
    adj 1: without law or control; "the system is economically
           inefficient and politically anarchic" [syn: anarchic,
           anarchical, lawless]

Moby Thesaurus II by Grady Ward, 1.0:

142 Moby Thesaurus words for "anarchic":
   Bolshevik, Bolshevist, Carbonarist, Castroist, Castroite,
   Communist, Fenian, Guevarist, Jacobinic, Leninist, Maoist, Marxist,
   Mau-Mau, Trotskyist, Trotskyite, Vietcong, actionable,
   against the law, agin the government, amorphic, amorphous,
   anarchial, anarchistic, angry, anomic, antinomian, arsy-varsy,
   ass-backwards, baggy, balled up, black-market, blobby, blurred,
   blurry, blustering, blusterous, blustery, bollixed up, bootleg,
   chaotic, characterless, chargeable, confused, contraband,
   contrary to law, criminal, disorderly, disorganized, featureless,
   felonious, flawed, formless, fouled up, frantic, frenzied, furious,
   fuzzy, galley-west, hazy, hellish, helter-skelter,
   higgledy-piggledy, hugger-mugger, illegal, illegitimate, illicit,
   impermissible, in a mess, inchoate, indecisive, indefinite,
   indeterminate, inform, infuriate, insensate, irregular, jumbled,
   justiciable, kaleidoscopic, lawless, lumpen, mad, mindless, misty,
   mixed up, mucked up, muddled, nihilistic, nonconstitutional,
   nondescript, nonlegal, nonlicit, obscure, orderless, orgasmic,
   orgastic, outlaw, outlawed, pandemoniac, punishable, raging,
   ravening, raving, revolutionist, rip-roaring, sans-culottic,
   sans-culottish, scattered, screwed up, shapeless, skimble-skamble,
   snafu, storming, stormy, syndicalistic, tempestuous, terrorist,
   topsy-turvy, triable, troublous, tumultuous, turbulent, unallowed,
   unauthorized, unclear, unconstitutional, undefined,
   under-the-counter, under-the-table, unlawful, unofficial,
   unordered, unorganized, unruly, unstatutory, unwarrantable,
   unwarranted, uproarious, upside-down, vague, wild, wrongful