I think it wouldn't be natural for me in the second sentence to say 'had been' (using just the verb to be), but that is probably optional. At any rate, your first sentence does change 'I ever tasted' to 'he had ever tasted'.
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allthewayanimeAnother one is 'That was a great game of golf', which becomes He said that thatHi,had beena great game of golf.
allthewayanimeaccording to the keys to exercisesThat's the problem. Sometimes the answer key gives a suggested answer, but that doesn't mean it's the only right answer. Usually you can either backshift was to had been or leave it as was in these cases.