Branson sits next to 4 phonetic neighbors — Brandon, Bryson, and Grayson are the closest matches by sound. Most share Branson's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"son of Brand, son of the sword"
"prince, chieftain"
"dark settlement, coal town"
"gentle, tamed"
"birth, creation"
"bold counsel, brave advisor"
"from Dayton"
"greatest town"
"song sung to a stringed instrument"
"tournament fighter"
"crow, raven"
"diminutive of Scott"
"who is like God"
"seeing clearly, sharp-sighted"
"land bordering the sea"
"divine might"
"acquired, possessed"
"yellow-haired, blonde"
"golden, gilded, of gold"
"warlike, martial"
"courteous, well-bred"
Similar sound: These names share phonetic patterns with Branson — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old English/Old Norse origins, giving them the same cultural heritage as Branson.
Rhythm: Branson is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.