Two syllable words that rhyme with acquire
ayer, beier, bleier, breier, briar, brier, bryer, buyer, byer, choir, crier, cryer, dire, dreier, drier, dryer, dwyer, dyar, dyer, eyer, fire, flier, flyer, friar, frier, fryar, fryer, geier, grier, guier, guyer, heier, hier, higher, hire, hyer, iyer, kleier, klier, krier, kyer, leier, liar, meier, meyer, mier, mire, myer, neier, plier, prier, prior, pryer, pryor, pyre, ryer, scheier, schier, schneier, schnier, schreier, schrier, schryer, schwier, seier, shier, sire, speier, spier, squier, steier, stier, styer, swier, tire, trier, tyer, viar, wire, wyer