I would say that my most played tape is "The Irish Concertina" by Noel Hill and is an excellent example of that style of Anglo playing at its best.A couple more I would suggest are "Ye Jacobites By Name" (which I believe is also sold as "The Barleycorn") by the Johnstones and a record by Christy Moore that is called "Christy Moore" - I believe it is also known as the "black record" or something like that.
Jon