Ans
EAs vs LikeLike is a Preposition and mostly used for comparison "Similar to". When comparing nouns use of "Like" is recommended.
As is a conjunction and should be followed by a clause.
A. Like the works of an operatic genius or a master painter, -
IncorrectThis statement compare works of an operatic genius to a great sportsman, this is comparison error.
B. Like that of an operatic genius or a master painter, -
IncorrectThis statement compare works of an operatic genius to a great sportsman, this is comparison error.
C. Like the performance of an operatic genius or a master painter -
IncorrectSame error as above - comparison error.
D. As is the case of an operatic genius or a master painter, -
IncorrectAs is used for verbs and not nouns, we need 'Like' here
E. Like an operatic genius or a master painter,
correctThis statement correctly compares operatic genius or a master painter to the sportsman.