Here's what rhymes with game.
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gain ain cane ane main pain chain grain rain reign ln vain vein lane sane crane fain lain pane rein bane mane tain vane wane deign feign skein arraign thane wain brain plain plane train attain drain slain stain cocaine regain terrain twain arcane inane moraine urbane swain chicane murrain contain obtain remain campaign domain strain retain insane detain hurricane pertain ordain certaine germane romaine sprain ingrain explain maintain sustain ascertain complain refrain champagne disdain humane profane abstain mundane sugarcane butane humaine overlain appertain urethane retrain wholegrain reattain entertain restrain aeroplane constrain cellophane halothane coxswain inhumane monoplane windowpane preordain reexplain legerdemain hydroplane foreordain polyurethane demimondaine raceme