Branson rhymes with:
fransen, franson, franssen, ranson, ransone, ansohn, anson, canson, danson, fransen, franson, franssen, gansen, ganson, hansen, hanson, hanssen, hansson, jansen, janson, janssen, jansson, johannsen, johansen, johanson, manson, ranson, ransone, sanson, sansone
Branson sounds like:
berenson, bernasconi, bernhagen, bernsen, bernson, birmingham, bramson, branagan, branigan, brannigan, branscom, branscome, branscum, bransom, briancon, bringman, brinkman, brinkmann, brinson, bronkema, bronson, bronzen, brownson, bruinsma, brunken, brunsman, brunson, burningham