The Collaborative International Dictionary of English v.0.48:

Tasmanian \Tas*ma"ni*an\ (t[a^]z*m[=a]"n[i^]*an), a.
   Of or pertaining to Tasmania, or Van Diemen's Land. -- n. A
   native or inhabitant of Tasmania; specifically (Ethnol.), in
   the plural, the race of men that formerly inhabited Tasmania,
   but is now extinct.
   [1913 Webster]

   Tasmanian cider tree. (Bot.) See the Note under
      Eucalyptus.

   Tasmanian devil. (Zool.) See under Devil.

   Tasmanian wolf (Zool.), a savage carnivorous marsupial; --
      called also zebra wolf. See Zebra wolf, under Wolf.
      [1913 Webster]

WordNet (r) 3.0 (2006):

Tasmanian
    adj 1: of or relating to Tasmania