Which Freebirds? Gordy and Roberts, who won NO world titles (I think), or PS and Jim Garvin, the first good Gay tag team?
The only one that I'd consider taking out would be the New Age Outlaws.
Think about what the Hardys and E&C have accomplished in an era of MUCH higher workrate, especially considering their styles. I would kill to see a match between either of them and the Midnights, or Blanchard and Anderson with their "storytelling" abilities.
I can't really count any of the "pieced together" tag teams (Kane and Show, Rude and Henning, Michaels and Austin, even Hogan and Savage) because they really didn't make their names as teams.