In practice there seems to be some variation in how people write it. Wikipedia has "List of Anthony Hopkins performances" Guardian has "Anthony Hopkins' 20 best film performances – ranked!". The s's seems rarer but the Irish Times has "Anthony Hopkins's new prestige".
In the former case it is a list of performances characterized by including Anthony Hopkins; in the middle, it is a list of performances belonging to Hopkins. The latter reads incorrectly to me as an American but as a possessive nonetheless.
