Unabashed rhymes with:
abashed, abashed, bashed, abashed, bashed, cached, cashed, clashed, crashed, dashed, flashed, gashed, hashed, lashed, mashed, slashed, smashed, splashed, stashed, thrashed, trashed
Unabashed sounds like:
unaffected, unbiased, unfazed, unfocused, uninfected, unopposed, unpacked