These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Clarence Boddicker has a blood-soaked criminal career. It's more play than work for him and his sadistically joyful gang of friends. The cruel way he and his men shoot up Murphy is only the tip of the iceberg. There are moments where he makes wisecracks like an evil version of Duke Nukem, but these are usually followed by displays of brutality. For example, his most famous line among the RoboCop fandom comes when he breaks into a man's house to find him enjoying the company of several women, to which he comments, "Bitches, leave." He then proceeds to shoot the man in both knees, leave a live HE grenade next to him and calmly walks out.
Dick Jones is as bad as Boddicker. Not only is he a Corrupt Corporate Executive, but also it's revealed that Clarence Boddicker is working for him from the very beginning. Jones doesn't care one bit when his ED-209 malfunctions and blows holes in an Innocent Bystander ("Who cares it worked or not?), ordering Boddicker to kill plenty of good-working/innocent cops so that Jones could make money with it. When Bob Morton gets the upper hand with his RoboCop project, he has him killed. While Boddicker is a monster, Jones is fully aware and uses his monstrosity simply for a better bottom line.
Crosses the Line Twice: The scene near the beginning with the demonstration of the ED-209 in the Director's Cut. In the theatrical version, it merely just shoots the executive for a second or two to kill him in a perfunctory manner. In the uncut version, it unloads hundreds of bullets into him with gallons of High-Pressure Blood spraying everywhere as the engineers try to disable the robot. This goes on for about 15 seconds, long after any human being could survive with ED-209 just chewing up the corpse. To top it off, some random guy says "Should we call a medic?" after ED's done turning the guy into paste. The original intent of the film was to make it so outrageously violent you couldn't take it seriously. The studio cut forced out much of the violence so that some scenes ended up a bit more depressing than others.
Ensemble Darkhorse: ED-209. So much so that he became a franchise staple rather than just a minor character; ED-209 is the one of the only characters besides Robocop himself that appears in every work of Robocop fiction.
Misaimed Fandom: A sizable portion of the film's fans love the film for its gratuitous ultraviolence. Said film is brutal satire attacking (particularly American) media for glorifying and commercialising violence while actual people living in actual cities are struggling with actual violence, and implies that the only people who can stomach such violence are insane and sadistic criminals, and those so scarred by violence that they've lost their humanity.
Although arguably Do Not Like This Cool Thing is at least partly in effect, since the ultraviolence is often depicted in an over-the-top and somewhat campy manner (as mentioned above, the famous ED-209 scene often mentioned was deliberately intended to be so ludicrously violent that the audience would end up laughing at how over-the-top it was) and when Robocop starts taking down the borderline-Complete Monsters he's facing throughout the movie with similar gratuitous violence it's hard not to find it triumphant on some level.
Older Than They Think: The line "I'd buy that for a dollar!" is derived from a sarcastic put-down from 1951 short story The Marching Morons: "Would you buy it for a quarter?".
In the first film some shots of RoboCop's handheld locating device show painfully clearly how the prop just has a painted-on small map with an embedded red LED. The scenes where it's actually put to use shows a close-up with proper animations, though.
When RoboCop throws Dick Jones out of the building at the end of the movie, his arms morph to about twice his height and he looks horribly deformed as he falls.
Boddicker's henchman Emil gets dunked in toxic waste, causing him to melt. And then he gets hit by a car, and explodes into Ludicrous Gibs. His head slides gracefully along the top of the car, and a substance like dirty water emerges from his exploded body to coat the windshield.
Murphy's death. Made more so by the fact that the gang members taunt him viciously as they're turning him into hamburger. "Give the man a hand!" "Does it hurt? Does it hurt?" Also, at one point you see his entire right arm get blown off.
Watching the trauma team at Henry Ford try to resuscitate the poor guy is every bit as painful. It's one of the more realistic trauma code scenes committed to Hollywood film. The trauma team were played by real paramedics. Yes, they did the research.
Of course that just makes it all the more satisfying when Robocop catches up to the bad guys and kills them with extreme prejudice.
The scene as planned by Paul Verhoeven was even gorier than in the director's cut. In particular, it was going to show the back of Murphy's skull blown apart by Boddicker's coup de grāce (that would foreshadow the back of his skull being replaced with metal in the scene where he takes his helmet off).
Visual Effects of Awesome: Not too many visual effects are used in this film beyond squibs and animatronics/prosthetics, but the stop motion used on ED-209 is very well done, and an entire million dollars, a thirteenth of the budget, was sunk into getting the suit just right.
Boddicker said that because he was afraid for his life, and justifies it to Dick Jones that way. (And it works: Robo does stop his beatdown once Boddicker says "You're a ... cop" and he remembers his third directive.)
On the other hand, Dick Jones was just indulging in some Evil Gloating, figuring there was no way Robo would survive being attacked by ED-209. Too bad OCP themselves built Robo to be nearly invincible, whereas for ED-209 they cut corners and just didn't care.
Boddicker, at least, can argue his confession was coerced: The same video recording also shows him being mercilessly beaten by his arresting officer, after all.