Words That Rhyme With "Unwrapping" :
2 syllables:
adding, aping, backing, bagging, batting, beeping, blacking, bleeping, cabin, camping, caplin, capping, catain, Chaplin, chatting, chipping, chopping, cladding, clamping, clapping, clasping, clipping, coping, copping, cupping, dabbing, damping, dipping, flagging, flapping, flatting, flipping, flopping, gabbing, gadding, gaping, gasping, gladding, hacking, hatpin, heaping, hipping, hoping, hopping, hyping, jabbing, jacking, keeping, lacking, lagging, lakin, lamping, lapin, lapping, lapsing, lapwing, Latin, lattin, leaping, looping, lopping, madding, makin, mapping, matin, matting, moping, mopping, nabbing, nagging, napkin, napping, nipping, packing, padding, patting, peeping, piping, popping, rapping, sacking, sagging, sapling, sapping, satin, scalping, scooping, scoping, scrapping, seeping, shaping, shipping, shopping, sipping, skipping, slacking, slapping, sleeping, slipping, sloping, smacking, snacking, snagging, snapping, sniping, snooping, sopping, stabbing, stacking, stamping, stepping, stooping, stopping, strapping, swapping, sweeping, swiping, swooping, tabbing, tacking, tagging, tamping, taping, tapping, tatting, tipping, topping, trapping, typing, upping, wagging, weeping, whacking, whapping, whipping, whooping, whopping, wiping, wrapping, zapping, zipping
3 syllables:
adapting, attacking, backslapping, collapsing, combating, combatting, equipping, escaping, kidnaping, kidnapping, recapping, recouping, reflagging, relapsing, reshaping, revamping, safekeeping, shellacking, steapsin, transalpine, unflagging, unpacking