http://www.pro-football-reference.com/leaders/
http://www.pro-football-reference.com/players/R/RomoTo00.htm
Here are Romo's spots in some career all-time rankings. These are regular season only which obviously benefits Romo and I'm too lazy to find a source that combines them.
Yards - 33rd (8 active players ahead of him although Hasselbeck probably isn't playing another down)
TDs - 24th
Passer rating - 3rd (interesting that 7 of the top 10 are active players
Passes intercepted - 94th (tied with Staubach at the moment, also interesting that 9 of the top 15 players with the most passes picked off are HOFers)
Times sacked - 74th (tied with Danny White, what's up with these cowboy connections, unlike interceptions only 2 of the top 20 for most times sacked are HOFers)
Completion percentage - 6th
Interception percentage - tied for 18th with P Manning, Brees, and Tannehill (lower rank is better)
Touchdown percentage - 18th (3rd among active QBs behind Rodgers and P Manning)
Game winning drives - tied for 18th
Fourth quarter comebacks - 17th
Yards per pass attempt - Tied for 6th (only active player ahead is Rodgers)
For most of these stats it's the same crew of active players ahead of him: both Mannings, Brady, Roethlisberger, Brees, and Rodgers. Of those only Eli and Big Ben are questionable for the HOF, the rest are shoe-ins and arguable top 5 QBs all time. Rivers and Matt Ryan are pretty comparable players to Romo.
It's worth noting that Romo really shines in the "normalized" categories like passer rating, touchdown percentage, and yards per attempt. His interception percentage is good all time, but if you compare to other active players he's a little mediocre. Makes me think if Romo had played in Staubach's era he might be regarded as one of the best all time (blasphemy?)