Synonyms for Unbalanced:

adj.

asymmetrical (adjective)
unsymmetrical, lopsided, asymmetrical, uneven, unequal, disproportionate.
crazy; mentally disturbed (adjective)
insane, lunatic, not all there, nutty, deranged, daft, troubled, kooky, touched, non compos mentis, batty, psychotic, unsound, unhinged, demented, irrational, mad.
insane (adjective)
demented, bananas, delirious, feverish, insane, fruity, babbling, kooky, psycho, lunatic, brainsick, deranged, berserk, irrational, frenzied, crackers, nutty, psychotic, blithering, batty, moonstruck, brain-sick, mad, neurotic, loco, maniacal, schizoid, Crack-brained, hysterical, crazy.
loco (adjective)
around the bend.
not even, stable (adjective)
lopsided, disproportionate, unstable, unequal, wobbly, unsymmetrical, shaky, asymmetrical, uneven, treacherous.
of unsound mind (adjective)
non compos mentis.
shaky (adjective)
wobbly.
top-heavy (adjective)
imbalanced.

n.

bald, arguable, pithy, disputed, declared, truthful, official, avowed, ringing. mentally ill (noun)
confused, bipolar, depressed, diminished responsibility.
unbalanced (noun)
crazy, sick, mad, unequal, unhinged, distracted, brainsick, insane, disturbed, demented, imbalanced.
unsteady (noun)
treacherous, shaky, unstable, wobbly.
unwise (noun)
rash, biased, unreliable, untrustworthy.

v.

deranged (verb)
troubled, unsound.

Other synonyms:

crackers, Daffy, bald, declared, fruity, quantifiable, bananas, quantitative, avowed, pithy, unstable, bonkers, mentally ill, disputed, loco. cracked, buggy, ringing, non compos mentis, truthful, daft, loony, arguable, screwy, nuts, underlying, wacky, distraught. moonstruck, unsound, disordered, touched, sheer. official. wrong. off. wavering
wobbly.

Usage examples for unbalanced

  1. And this idea still holds, that faith in the crude speculations of unbalanced minds as to the nature of the great first cause and his commands as to the conduct of life, should be the same in the beginning, now and forever. – The Woman's Bible Part I. Comments on Genesis, Exodus, Leviticus, Numbers and Deuteronomy. Part II. Comments on the Old and New Testaments from Joshua to Revelation. by Elizabeth Cady Stanton
  2. And there in the glory of the Italian sunshine, her ardent, unbalanced nature, starved in the chilly convent, yielded to passion, for there were many to love her. – Dreamers of the Ghetto by I. Zangwill