The IMDB decided to go with the narrow definition for their entries for Reeve and Jackman (i.e., only including properties that started in comic books, instead of properties that would later find their way into the medium).

http://www.imdb.com/name/nm0413168/bio

As of 2011, he holds the record for playing the same comic book character (Marvel Comics' Wolverine) more times than any other actor, in this case 5 films. Prior to that, the record was held by Christopher Reeve who played DC Comics' Superman in 4 films.

http://www.imdb.com/name/nm0001659/bio

Before 2011, he held the record for playing the same Comic book character more times than any other actor. He was overtaken by Hugh Jackman who has played Marvel Comics' hero Wolverine in 5 films. Reeve does still have the honor of playing a titular hero more times though.