Jameson rhymes with:
abrahamsen, abrahamson, abramson, adamson, bramson, clemson, damson, flamson, hamson, harmsen, hermsen, lambson, lamson, malcolmson, malcomson, remsen, remson, rimson, rumson, samson, siemsen, simson, stimson, thomsen, thomson, timson, tomson, wilhelmsen, willemsen, williamsen, williamson
Jameson sounds like:
jainism, jamaican, jamieson, jamison, jansen, jansma, janson, janssen, jansson, janzen, jeansonne, jemison, jenison, jenkin, jennison, jensen, jenson, jenssen, jimison, jingoism, johannesen, johannessen, johannsen, johansen, johanson, johansson, johnsen, johnson, jonassen, jonsman, jonson, jonsson, jungin, jungman, junkin, junwuxiyan