Fite rhymes with:
feit, fight, lafite, alight, allright, alright, benight, bight, bite, blight, bright, brite, byte, cite, clevite, clyte, contrite, de-excite, delight, despite, disinvite, dunite, dwight, ebright, enright, enwright, excite, feit, fight, flight, forthright, fright, height, heit, hiett, hight, hite, ignite, incite, indict, indite, invite, kight, kite, knight, kyte, lafite, light, lite, macknight, mccright, mcknight, mcright, mcwhite, mcwright, might, mite, night, nite, nonwhite, onsite, outright, overexcite, overnight, overnite, overwrite, plight, polite, quite, recite, reignite, reinvite, reit, reunite, rewrite, right, rite, riunite, satterwhite, scheidt, semi-height, sight, site, sleight, slight, spight, spite, sprite, streit, strite, tight, tonight, tonite, trite, twite, upright, uptight, white, whyte, wight, wright, write, zeit
Fite sounds like:
f'd, fad, fade, faded, faeth, fahd, fait, faith, fat, fata, fatah, fate, fated, fateh, fath, fathi, fatty, fatwa, fauth, favata, fayed, fayette, feat, fed, fede, fedewa, fediay, feed, feet, feit, feith, fete, feted, fetid, fett, fette, fetty, feud, feuded, fiat, fiato, fidata, fide, fido, fiftee, fifth, fiftieth, fifty, fit, fithe, fitt, fitted, food, foodie, foodway, foot, foote, footed, foth, foti, fouad, fout, fouty, foyt, fuddy, fudo