1. Elliot from Law and Order , SVU
2. Pete from Warehouse 13
Watching a potential end of the world on Warehouse - Artie holds off 4 agents with a revolver. He has it aimed at Pete. If you do this for real, Artie could have been disarmed easily. Also, to save the world, the inability of the agents to pull the trigger rivals Batman's or Supes' inability to take down a world killer or monster (like the Joker).
I've seen Elliot in the same situation, cry like a baby and be helpless.
Who else is equally incompetent?