The Collaborative International Dictionary of English v.0.48:

Statuelike \Stat"ue*like`\ (st[a^]ch"[=oo]*l[imac]k` or
   st[a^]t"[-u]*l[imac]k`), a.
   Like a statue; motionless.
   [1913 Webster]

Moby Thesaurus II by Grady Ward, 1.0:

25 Moby Thesaurus words for "statuelike":
   at a standstill, at anchor, dead-still, fixed, idle, immobile,
   immotive, marmoreal, monumental, motionless, moveless,
   out of commission, riding at anchor, sculptitory, sculptural,
   sculpturesque, static, stationary, statuary, statuesque, still,
   stock-still, unemployed, unmoved, unmoving