The Britain's Got Talent judge was being interviewed by Piers Morgan for a new series of Life Stories when he disclosed his desire to play Lovejoy or Lawrence of Arabia, but not Hamlet.
Hasselhoff said: "I just haven't had the right role yet, and I don't think it's ever going to come, because The Hoff has taken over. I'd like to remake Lovejoy, I loved Lovejoy, I think it's great. I'd like to do Lawrence of Arabia. I'd say I'd like to do Hamlet, but I don't think so - it's too hard, long hours."
Lovejoy appeared on the BBC between 1986 and 1994, and starred Ian McShane as a roguish antiques dealer.
During the interview, Hasselhoff revealed that his dad still calls him Michael after his Knight Rider character.
Baywatch co-creator Michael Berk also told Morgan that they had to arrange shooting on the show so that Hasselhoff was not overshadowed by Pamela Anderson's breasts.
Berk claimed: "David would say, 'Look, I don't want to be in scenes upstaged by Pamela Anderson's breasts'.
"Our directors had to learn how to stage the different shots so that attention wasn't drawn off David too much."
Hasselhoff is currently dating Welsh factory worker Hayley Roberts, whom he met while filming BGT auditions in Cardiff.