Where can I hear more music by Dragon Ball composer Shunsuke Kikuchi?
The composer doesn't have a dedicated channel, as not many of his works are available for streaming or download legally online. 

A discography and filmography of his work is available. As he has done work for not only anime, but live action series and films (as writer and/or composer), your best bet is to use a combination of two lists and look them up individually on sites such as Youtube.