If that's what you people want! You'll get it!
This is how I think Bender Becomes a Cop would be like:
Bender messes up a mission and gets yelled at for it. They tell him he never respects anyone, and nobody will ever respect him. Feeling disrespected, Bender quits his job at PE and moves to San Francisco. He wants a job where he's in a position of power, so he gets a job at the Police Station. Bender enjoys his job as a cop where he roughs up robbers, criminals, arsonists and whatnot. He even has a 32 Magnum Laser Gun and says some Dirty Harry style catchphrases. Bender is also kind of a dirty cop. Fry, Leela and the others come to visit him, they want to help and Bender makes them work behind the scenes like Chloe from 24. Then the Police chief has a job for Bender. To take down a sniper.
The sniper is up on top of a building shooting people left and right. Bender tracks down the sniper and Fry, Leela, and the others help track down the sniper as well. Just as the sniper is about to be caught, he steals a hovercar and drives away. Bender gets into a super intense car chase with the sniper. Then when it's over, there's a showdown between Bender and the sniper on the railroad tracks. Bender subdues the sniper and arrests him and the Police Chief congratulates him. Fry, Leela, and the others want Bender back at PE because he finally won their respect. Bender quits his job, goes back to NNY and to work at PE.
And that's how I pictured a 'Bender Becomes a Cop' scenario! There should have been an episode like this for the final season. Sure beats LATGS!
How about one Fry, Bender, and Zoidberg work at an Arabian Resturant as a second job? Then they discover a plan from some Arabian customers that they will rob a tomb of King Rootintootin which contains a priceless diamond. The two plotters are thrown out by Bender. Then Fry, Bender, and Zoidberg attempt to go to the planet Arabian 45 to get the diamond from the evil emir of Schmow. They go dressed as Santa Claus and subdue a guard. Then they enter the palace and play a trick on the Schmow to give them a diamond. Then Zoidberg messes up and has a showdown with the guard. Bender subdues the guard and Fry summons the Schnow to stand on his head in a fountain. They get the diamond and go back home. Leela, Amy, and Hermes advise them to give the diamond to the Lost and Found which pisses off Bender because he wanted the diamond for himself.