Okay, so the following couple of tunes are really Irish-American kitsch. But first, it's not St. Patrick's Day in America if you haven't heard "Danny Boy" at least once. (Besides, I'm in love with Celtic Woman, though it's an ill-fated romance because polygamy is forbidden.)
Second, Irish Catholics of a certain age were brought up with the sound of Der Bingl singing Irish-American kitsch (and why was a nice Irish boy given a pseudo-German nickname? Beats me; ask "Dutch" Reagan!).