Donovan McNabb: His mobility led to the Eagles dominating their division from 2000-2004. 15,978 passing yards, 110 passing TD; 2,146 rushing yards, 20 rushing TD. The issues against him are the missed games, playoff results, and his sharp decline after leaving Andy Reid and the Eagles. I think you have to have a hard look at Andy Reid as a Hall of Fame coach before considering McNabb. The bar has also been set high for quarterbacks without a Super Bowl Ring.
I might be missing someone here, but quarterbacks in the Hall of Fame without a Super Bowl ring during the Super Bowl era are:
Sonny Jurgensen: He won an NFL championship in 1960, was injured and could not play in Super Bowl VII, and played the majority of his career before the Super Bowl era.
Fran Tarkenton retired as the career leader in passing yards and touchdowns, both records held by Johnny Unitas.
Dan Fouts retired as only the third person with 40,000 passing yards (Tarkenton, Unitas), and the fourth person with 250 TD (Tarkenton, Unitas, Jurgensen).
Dan Marino retired as the career leader in passing yards and touchdowns. Dan Marino 1984, 5,084 yards, 48 TD. The first time a QB had over 5,000 yards and/or 40 TD in a season. Dan Marino became the first QB with 50,000 and 60,000 passing yards.
Jim Kelly went to four consecutive Super Bowls.
Warren Moon played six years in the CFL with the Edmonton Eskimos before entering the NFL.
Ben Roethlisberger: Now that Kurt Warner is a hall of famer, every quarterback that has played in three Super Bowls has made it into the Hall of Fame.
Eli Manning: Continuing on the point about Roethlisberger, if Manning doesn't make it to a third Super Bowl, or have some deep playoff success with All-Pro talent Odell Beckham Jr., his candidacy continues to be quite vexing.
Tony Romo: "Let's not put him in Canton yet, fellas."