Hither rhymes with:
atither, bither, dither, ryther, slither, smither, whither, wither, zither, altogether, another, atither, bather, bellwether, birdfeather, bither, blather, bother, breather, brother, cather, crowther, dither, either, fairbrother, fairweather, farther, father, feather, forefather, further, futher, gather, genther, get-together, ginther, godfather, godmother, grandfather, grandmother, grether, guinther, heather, hesther, huether, koether, kuether, lather, lawther, leather, lowther, mather, mayweather, meriweather, meriwether, merriweather, merriwether, mother, neither, nether, norther, nother, oldfather, other, prather, raether, rather, reither, reuther, roether, ryther, sather, seither, sether, slather, slither, smather, smither, smoother, smother, souther, starkweather, stepfather, stepmother, stikeleather, strother, suther, tether, together, weather, werther, whether, whither, wither, wrather, yother, zither
Hither sounds like:
hader, hadria, haider, hater, hatter, hattery, hattori, haueter, hauter, hayter, header, headwater, heater, heather, heathrow, heeter, heider, heidiwear, hider, hitter, hodder, hoddur, hooter, hotter, hotwire, huether, hutter, hyder, hydra, hydro