Prince Henry returns to rescue Danielle (not that she needs much rescuing), he makes an apology for being a complete Jerkass. Danielle tells him to say it again, and he apologizes again, but she says: "No, the part where you say my name." The prince only knew Danielle by a pseudonym for the majority of the movie.
Prince Henry tells Danielle to call him Henry instead of "Your Highness", which is how he demanded she refer to him as when he discovered she was actually a commoner.
Watch Titanic with a notepad and write down how many times the names "Jack" and "Rose" are called out between the two characters. Even if you don't make a Drinking Game out of it, your vision will stillswim by the first hour of the movie. No joke. See the evidence.
Michelle: What's my name? Say my name, bitch! Jim: Michelle! Michelle.
Chain Reaction has the character played by Morgan Freeman repeatedly saying the name of the character played by Keanu Reeves in casual conversation. It's not for dramatic effect, it's just bad writing.
RIDIIIIIIIIIIIICK! — Every Bounty Hunter, Mercenary Leader, and otherwise sapient baddy in any part of The Chronicles of Riddick.
Battle Couple Will and Elizabeth say each other's names a lot. Usually when one, or both, are in danger.
Parodied in one scene from the first movie:
Jack Sparrow: Monkey!
None of which compare to Davy Jones' hamtastic outburst at the end of Dead Man's Chest. The fact he's spraying seawater while doing it helps:
"Damn you... JACK... SSSPAAAAARRROOOOOOOOW!"
The Graduate. The glass-pounding scene in the church when the titular graduate screams "ELAINE!" at the top of his voice (twenty times!). Elaine is getting married to someone else and he does not want that.
Bastian can only cure the Empress and save Fantasia by giving her a new name, and shouting it aloud. Because there's a storm and Barrett Oliver shouts the name incoherently, it's impossible to tell what name Bastian picked. This may have been intentional so that the viewer can imagine that Bastian shouted the name of their choice; in the original book, however, the new name of the Empress was explicitly stated and everybody in Fantasia learned it.
In Slumdog Millionaire, Jamal sees that his love interest has met him at the train station like promised and happily yells out "Latika! Latika!" This soon changes to a horrified "LATIKAAA!" when he looks behind her and sees his brother racing after her to drag her back to the gang leader she was trying to escape from.
In the trailers, the lead character Sam Witwicky shouts the name of the Autobot leader. OPTIMUS!
In the final battle, Optimus Prime arrives in the city and confronts Megatron who had just killed Jazz. Optimus seemed rather angry to see Megatron alive and well, and the fact he was holding the corpse of one of his friends didn't help, whereas Megatron seemed almost happy to see the former. They haven't seen each other in over 10,000 years. Their first words to each other?
Parody examples might be ripped-off from Wuthering Heights's "HEATHCLIFF!" "CATHERINE!" exchange, which didn't happen at all in the book, but it was an effective way of translating their crazy love into a visual medium.
Indiana Jones gets "INDY!" or "JONES!" screamed at him all the time. There's also a notable moment when his father saves him from a Death by Materialism by finally addressing him by his preferred moniker "Indiana" (instead of "Junior").
Near the end of The Final, Dane has Jerk Jock Bradley strapped to a chair and tells him to say his name. Dane is shocked to learn that, despite Bradley bullying him for years, Bradley does not even know his name.
In the Back to the Future movies, Doc and Marty do plenty of this. Regardless of the decade, or even the century, a Tannen will address Marty with "Hey, McFly!"
Highlander 2: The Quickening gives us a glorious mid-quickening "RAAMIIREEZ!" after Connor kills General Katana's two henchmen. Then we learn that the quickening has the never-seen-before-or-after power to bring people back to life by screaming their names. As you might be able guess by the fact that someone is named "General Katana", this movie is not very good.
An effective twist appears in the film Inkheart. The camera shows us Resa yelling Meggie's name as Meggie is being shoved away by guards, but since she is mute there is no sound.
The 2009 short film Being Carl Williams sees actor Gyton Grantley confused for real life underworld killer Carl Williams (whom he played in the TV series Underbelly). His desperate efforts to convince his assailants that he's not the real Carl Williams are not helped when the man they want 'Carl' to kill spots Gyton Grantley for the first time, likewise confused him for Carl Williams, and immediately launches into this trope.
In The Ten Commandments, Seti I reluctantly commands that the name "Moses" must be stripped from every monument and text in Egypt. This was really how the Egyptians made you an Unperson and banned your soul from the next life. It also "explains" why Moses isn't mentioned in Egyptian documents. Cecil B. DeMille resurrects the historical Moses and grants him passage to heaven by having everybody say his name.
In the climax of The Mask of Zorro, Diego and Rafael have an understated version, where it's practically a whisper. It actually makes it more powerful.
Rafael: de la Vega.
Diego: Rafael. (punches him)
In Ferris Buellers Day Off, Ed Rooney calls his secretary when he sees that Ferris' absence count has dropped from 9 to 2 because Ferris hacked his computer.
Frodo screaming "GAANDAAALFF!!" just before he gives his [in]famous, big Hollywood "NOOOOOOOOOOOOO!!" as the Balrog drags Gandalf down with it.
Sam screaming, "FRODOO!!" Heck, you can make a drinking game out of the number of times Frodo's name is said or yelled out (by any character).
Scary Movie, first part. Cindy and Bobby finally have sex. Bobby's dream has come true. Or has it?
Cindy: WHAT'S MY NAME, BOBBY?
Cindy: (slaps him) WHAT'S MY NAME, BITCH? (slaps him real HARD)
Bobby: (cries) Ow, God, it's CINDY!
In the 2009 Sherlock Holmes film, Watson, while running after the villain with Holmes following a couple hundred feet behind him, trips a bomb wire, hears ticking, and in (what he thinks is) his last living moment, has the presence of mind to turn around with his hand thrown out in the universal "stop" gesture and scream "HOOOOLLLMMES!" to warn Holmes not to come any nearer, since he's about to get blown up. However, in the film's trailer, the clip is cut in such a way that the implication is that Watson has just seen something dangerous happening to Holmes and is doing this trope combined with a Futile Hand Reach of concern.