WordNet (r) 3.0 (2006):

come around
    v 1: change one's position or opinion; "He came around to our
         point of view" [syn: come round, come around]
    2: happen regularly; "Christmas rolled around again" [syn: come
       around, roll around]

Moby Thesaurus II by Grady Ward, 1.0:

96 Moby Thesaurus words for "come around":
   acquiesce, agree, agree on, agree with, alter, alternate,
   ameliorate, be changed, be converted into, be here again,
   be persuaded, be renewed, bottom out, bounce back, break, change,
   checker, chop, chop and change, circle, come about, come again,
   come and go, come around to, come back, come over, come round,
   come round again, come sick, come to, come to terms, come up again,
   come up smiling, comply, comply with, covenant, cycle, degenerate,
   deteriorate, deviate, diverge, diversify, fall in with, flop,
   get about, get over, get together, get well, haul around, improve,
   intermit, jibe, make a comeback, meliorate, menstruate, mitigate,
   modulate, mutate, oscillate, pull round, pull through, pulsate,
   pulse, rally, reappear, recover, recur, reoccur, repeat, return,
   revive, revolve, roll around, rotate, shake hands on, shake on it,
   shift, strike a bargain, submit, survive, swerve, tack,
   take a turn, turn, turn aside, turn into, turn the corner,
   undergo a change, undulate, vary, veer, warp, weather the storm,
   wheel, wheel around, worsen