In the last decade, Manning alone of all rookies, and no one else. In keeper or dynasty style leagues owners might want to draft rookie quarterbacks - but even then, never draft a rookie quarterback with the intentions of starting him. Plan on stashing him as a backup until his performance merits starting - and realize it might take 2 or 3 years before you reach that point. When looking at NFL rookie running backs, the picture improves. Examples of other successes for rookie RB's abound - Edgerrin James, Barry Sanders, and many more.
Nothing is guaranteed, of course.
As the Sporting News's Dan Pompei pointed out in his column on January 23, since 1995 there have been 21 running backs selected in the first round of the NFL draft. First and foremost, even before looking at a player's injury history, look into his character. It does count. Part of the reason Cecil Collins was a complete failure as an NFL player is that, although he had the talent and physical skills necessary to play running back in the NFL, he was a criminal. Next, consider a player's injury proneness - but don't dismiss someone out of hand because he may have suffered a major injury in college.