Branched rhymes with:
stanched, bunched, cinched, clenched, clinched, crunched, drenched, entrenched, flinched, hunched, inched, launched, lunched, lynched, munched, pinched, punched, relaunched, retrenched, scrunched, stanched, wrenched
Branched sounds like:
brainwashed, brancato, branstad, bronzed, brownest, burnished, burnsed, burnside