From another thread:
I never really know how to answer this question, and figure others have more experience. I usually try a Burley-heavy version of something they already like. If they like Englishes, Engine 99. For medium smokers, Haunted Bookshop. For maniacs, Big 'n' Burley or Old Joe Krantz (I haven't found a burley blend that I like yet. I think I just don't have a taste for it.