All the TV and movie characters bother me. The League of Extraordinary Gentlemen is a tribute to the literature of a given era. I would stick to characters from print.
That said, Jack Ryan could always take the "government liason" role. After that, I'd go after characters from modern pulps and adventure series, like Remo Williams or Dirk Pitt, but those are bad examples because they're really 1970s characters.
Damn, who are the adventure novel heroes of the 1990s, anyway?