I'd like to post this as the Beginner Tune of the Month for May 2016...
Old Joe, a banjo tune from Thomas Briggs' banjo tutor book of 1855. Here played in minstrel 'high bass tuning' in the key of D...tune your minstrel banjo to d-ADF#A. (You can also play this in regular Briggs 'low bass' tuning if you simply avoid hitting the bass string, since the tune as written does not utilize the bass string)
This is one of the easiest tunes to learn in stroke style/minstrel style banjo, and most of the moves will be familiar to clawhammer players already. But it's a satisfying tune or song for any level of minstrel banjo player.