Larry, in general I too dislike operatic covers of popular songs, and like you I don't think I've listened to the couple of Dame Kiri's crossover albums I have more than once or twice.
There are exceptions, though. One that I'd particularly recommend would be a 1985 album by Julia Migenes (then known as Julia Migenes-Johnson) entitled "In Love," in which she wonderfully performs a dozen or so classic Broadway show tunes. Of course, it's not entirely coincidental that in addition to opera she has a substantial background in the theatre.
Speaking of Dame Kiri, one of the most fantastic concerts I've been to was a recital of purely classical material that she gave in New Haven, Connecticut, about three decades ago. When she was in her element she was certainly a very special talent.
Best regards,
-- Al