Watch the Section 2: Songs in A online guitar lesson by Cathy Fink from Clawhammer Banjo: Beginner Module 2
I play banjo and fiddle tunes on the banjo, but also enjoy singing with banjo. I like to start with very familiar songs so you are learning your banjo techniques on music you already know.
I also mention Grandpa Jones and Lily May Ledrod, two banjo players that had a big, full, song accompaniment style. You can find their recordings and some youtube links.