Like Arnold Toynbee did , who saw cycles and patterns as intrinsically woven into the skein of history, Fernand Braudel perceives a 'deep structure' lurking under the surface of modern European history.
A Like Arnold Toynbee did
B Like Arnold Toynbee
C As did Arnold Toynbee
D As Arnold Toynbee
E Not unlike Arnold Toynbee did
here we are comparing two individuals. we use " like" here .
simplifying, Like A, B perceives a deep structure ....
IMO, B is best.
A is flawed...if "did" is used, explaining his work is not correct.
C , D ..."As" is incorrect here
E Redundant usage