Synonyms for Unbounded:

adj.

absolute (adjective)
crashing.
endless (adjective)
illimitable, everlasting, immeasurable, ceaseless, eternal, limitless, boundless, countless, numberless, infinite, perpetual, incalculable, interminable.
free (adjective)
unrestricted.
infinite (adjective)
immeasurable, endless, countless, perpetual, immemorial, limitless, innumerable, infinite, inexhaustible, boundless, timeless, illimitable, interminable, ceaseless, numberless, everlasting, unlimited, incalculable, eternal, Termless, bottomless.
utter (adjective)
blooming, outright, downright, arrant, dead, sheer, perfect, unrelieved, out-and-out, complete, thorough, thoroughgoing, consummate, total, unmitigated, damned, unreserved, pure, crashing, unlimited, all-out, unqualified, unequivocal, plain, flat.

n.

unconditional, unrestricted, unregulated. limited. blooming, arrant, consummate, out-and-out, big, thorough, positive, perfect, total, unmitigated, complete, thoroughgoing, unequivocal, plain, damned, unreserved, flat out, sheer, crashing, unqualified, outright, pure, utter, downright, dead, all-out, unrelieved, flat. spreading (noun)
loose.

Other synonyms:

arrant, unrelieved, crashing. downright, thoroughgoing, outright, out-and-out. pure, flat out, unmitigated, all-out, consummate. blooming, unequivocal, thorough. unqualified, damned. unreserved, positive. complete, perfect, dead. flat. plain. Other relevant words:
consummate, arrant, damned, perfect, complete, total, sheer, positive, unequivocal, unqualified, crashing, unconditional, unmitigated, pure, downright, unrestricted, outright, thoroughgoing, dead, unrelieved, plain, thorough, utter, flat out, flat, all-out, unreserved, out-and-out.

Usage examples for unbounded

  1. She little knew who had arrived on board the " Falcon," or her joy would have been unbounded – The Second String by Nat Gould
  2. They were usually men of great suavity of manner, personal bravery, unbounded zeal, and remarkable religious enthusiasm. – The Spiritualists and the Detectives by Allan Pinkerton