Brees and Roethlisberger shouldn't be on any list of "Borderline HOF QBs Who Has Gone Criminally Underappreciated by the Public" because there's nothing "borderline" about their HOF chances. I think Eli is a slam dunk too, though some people here disagree.
Another name that maybe was mentioned (but I didn't notice that he was) that might better fit this category is Dave Krieg.
- 19th all time in passing yards (ahead of Aikman, Simms, Young, Anderson, Esiason)
- 17th all time in passing TD (ahead of Fouts, Bledsoe, Kelly, McNabb, Young, Bradshaw, Esiason, Anderson)
- 55th all time in passer rating (now take the context in which he played into consideration.... ahead of Esiason, Moon, Starr, Tarkenton, Fouts, Elway, Simms, Unitas, Theismann)
- Career W/L record of 98-77
- Career TD/INT mark of 261/199
- 3 time pro-bowler
Not in the HOF and never will be, but he had a terrific NFL career, and he finished fairly high in the NFL rankings in some key passing stats compared to some other guys in the HOF (or borderline HOF guys). Pretty solid winner too.