Here's what rhymes with latterday.
day pay today j bay che dey jay payee rj tae bey they may way away say play re lay stay array decay gay k obey pray ray hay nay prey weigh ballet tray fay fe oj yea allay attache hey ij ley passe rei sei whey bj bk drei fj kc lei rea tj tre wei bray dray neigh brae cay fey roue shay purvey toupee trey spay underpay aweigh delay survey clay essay gray grey yesterday holiday okay spray betray cafe repay stray sway astray fray runaway slay underway valet vertebrae bouquet disobey fillet ok papillae sleigh saute underlay zwei flay parquet workaday belay splay byplay moray patellae prepay sachet overpay aurae hurray outstay copay display convey dismay interplay portray defray disarray faraway overlay passageway protege waterway cabaret dossier matinee naturae puree replay alleyway getaway lingerie soiree caraway castaway filet hideaway inveigh ricochet airplay nisei resurvey sorbet soubriquet stowaway underplay hooray noway overplay overstay sickbay urethrae briquet layaway outplay reweigh umbrae bobsleigh copulae tearaway anyway everyday halfway cliche lamellae naivete emigre francais gangway nebulae toothache breakaway crochet croquet fistulae risque scapulae sobriquet souffle straightaway wordplay carriageway fibulae giveaway throwaway pleurae takeaway flyaway macrame roundelay medullae uvulae foldaway misplay respray formulae sequelae societe maxillae cabriolet stingray caesurae cybercafe penumbrae walkaway tarantulae communique microarray trabeculae salmonellae caravanserais companionway