Unbranded rhymes with:
branded, branded, banded, branded, disbanded, evenhanded, lefthanded, remanded, righthanded, sanded, single-handed, underhanded
Unbranded sounds like:
unburned, unformed, uniformed, uniformity, uninformed
branded, branded, banded, branded, disbanded, evenhanded, lefthanded, remanded, righthanded, sanded, single-handed, underhanded
unburned, unformed, uniformed, uniformity, uninformed