"You have 20 seconds to comply." What follows proves to be one of the finest practical effect moments captured in an action film, it's a Red Shirt who dies and Nightmare Fuel that results.
Murphy, reborn as an invincible warrior of living steel known as RoboCop, bravely marches into Boddicker's crack factory and sends every drug-pushing monster in it to hell where they belong with his mighty Beretta Auto-9. Just how awesome was this scene? The directors played the movie for some real life police, and thought they would be horrified by this scene. Instead the officers cheered, saying this is how Miranda rights should be read.
Murphy's apprehension of Boddicker is awesome in itself. He reads him his Miranda Rights, while sending him flying through windows.
Right after this, Murphy's memories start to surface as he (violently) apprehends Boddicker, the most vivid being that of his death. He hauls Boddicker back to the station, shoves him at the officer on duty, says, "Book him!", and turns to leave. When asked what the charge is, he turns and says, in what is probably one of the best delivered (and most ironic) lines ever: "He's a cop killer."
Even before he became Robocop, Alex proved he's awesome.
He convinces Emil to surrender with "Dead or alive, you're coming with me."
He had an iron will by taking twenty-something rounds of shotgun shells to the chest and refusing to go down.
There's a brief moment when Clarence's gang, after unloading on Murphy, look at him as if to say, "How the hell are you still standing?!?" It takes a coup de grace headshot by Clarence himself to knock Murphy off his feet.
After Dick Jones sends out the ED-209 to finish Robo off once and for all, the bigger machine smacks him around like a piece of cardboard. As the security robot gets closer, the camera zooms into Robo's face, where the audience can see through his broken visor, and his eye is wide open in surprise, as the music swells. As ED-209 levels its weapon at him, Robo lifts the arm with all his strength, forcing the bigger machine to fire on its other arm, and partially disabling it as the music reaches a triumphant crescendo.
When RoboCop uses one of the Cobra Assault Cannons to effortlessly annihilate a ED-209 when a previous ED had given him so much trouble.
When the Old Man shouts "Dick, you're FIRED!!", thus freeing RoboCop from the restraining Directive 4 and allowing him to finally kill the bastard.
Robocop's first night on the job has some choice moments, like when he calculates how to shoot through a woman's dress to avoid hurting her while hitting the guy holding her hostage in the groin, or stopping a convenience store robbery by bending the perp's machine gun barrel down.
(after saving the woman from her two assailants, one of whom is laying on the ground writhing in agony) Your move, creep!
The SWAT scene was more in the Tear Jerker territory, but the fact that Robo was able to keep moving despite being outnumbered and out gunned by concentrated firepower just shows he's more than a machine.