Although OTRCAT.com does not have recordings of every series listed below, the following is quick reference guide to old time radio show series, theme music title, and composer (when available).
Jimmie Gallagher [vocalist] - Signature Theme on various shows: "Dear One Good Night" (radio title: Saying Adieu) (1931)- Jimmie Gallagher; Bob Ellsworth; Jack Erickson
Jimmie Lunceford [big band shows]
Signature Theme 1 on various shows: "Jazznocracy" - Will Hudson
Signature Theme 2 on various shows: "Uptown Blues" - Jimmie Lunceford
Jimmy Dorsey [big band shows] - Signature Theme on various shows: "Contrasts" - Jimmy Dorsey
Johnny Richards [orchestra shows] - Signature Theme on various shows: "Young At Heart" - Johnny Richards (m); Carolyn Leigh (w)
Jolly Time Pop Corn Reveue, The - "Bowl of Pop Corn, A Radio, and You" - Paul Blakemore
Jonathon Trimble, Esq. - "Days Gone By" - Jack Meakin
Joseph White, Radio's Favorite Tenor- "Roses In The Moonlight" - Peter De Rose; Joseph White
Joyce Jordan, Girl Intern - ""Poeme" [vocal title: My Moonlight Madonna] - Zdenko Fibich (m); William Scotti (adapter); Paul Francis Webster (w)
Judy Canova Show, The - "Go to Sleepy, Little Baby" - Judy Canova (m); Zeke Canova (m); Harry Tobias (w); Henry Tobias (w)
Jumbo Fire Chief Show, The [with Jimmy Durante ] - "Over and Over Again" [from the 1935 musical "Billy Rose's Jumbo" and the subsequent film] - Richard Rodgers (m); Lorenz Hart (w)