Router rhymes with:
recruiter, rooter, rueter, ruiter, ruter, bueter, commuter, computer, cooter, cuter, hooter, kuter, lewter, looter, luter, microcomputer, minicomputer, neuter, pewter, polluter, recruiter, rooter, rueter, ruiter, ruter, schluter, scooter, shooter, sluiter, souter, suiter, suitor, supercomputer, suter, sutor, tutor, yeutter
Router sounds like:
radar, radder, rader, radiator, raeder, raether, raider, rater, rather, ratier, ratterree, rattray, reader, readier, redder, reder, redraw, reeder, rehder, reider, reiter, reitera, reither, reitter, reorder, retire, retiree, retro, retry, retter, reuter, reuther, reutter, ridder, rider, rieder, riederer, rioter, riter, ritter, roder, rodier, roeder, roederer, roether, rohwedder, rohweder, rooter, rotary, rother, rothery, rotor, rotter, routhier, rudder, ruder, rueter, ruether, ruiter, ruter, ruther, rutter, ryder, ryther, ryutaro