Well its a depression, so none of those others.
Carter? Far too much legislative activity for that parallel.
Reagan? At most as a mirror image.
the elder Bush? Foreign policy OK, if not as showy... but he is definitely not the afterglow of his predecessor.
Clinton? Slick, similar electoral results, but with a much different constituency.
Dubya? Fewer cheap gestures, much more integrity, far more respect for procedures and legal niceties, undid much harm of Dubya.
One can easily rule out Ford, Nixon, and LBJ. Kennedy requires a great personal tragedy. Too much political savvy to be Eisenhower (really a fine President), and he would like a rerun of the 1948 election in 2012.
Most Presidents seem to make impossible any repeat act for several decades.
So far the closest analogy is to the first four of FDR -- at least if one goes by the generational-cycle theory of Howe and Strauss. Both took over at or near the end of nasty meltdowns of the US economy. An odd parallel is an assumption that both Presidents endured misguided and WRONG assaults on their alleged religious heritage -- as in "Franklin D. Rosenfeld" and putting an emphasis on the President's middle name.
Is he up to the standard of FDR? More like Teddy Roosevelt -- and I think that he would be satisfied with such a comparison. Nobody wants WWIII.