If we take this question directly as asked, yes Darth Vader remembers who R2D2 is. Because in both the movies and the animated shows, it is referenced that Vader considers Anakin a completely different person from himself. Old Ben Kenobi tells Luke that Vader killed his father.
Star Wars Theory: R2-D2 Didn't Know Anakin Skywalker Became Darth Vader. R2-D2 served Queen Amidala and later Anakin Skywalker, accompanied by C-3PO. Unlike the golden protocol droid, R2-D2 never had a full memory wipe, so he was well aware of all events that happened around him.
R2 is the living embodiment of Darth Plagueis. We know this because of his conception of Anakin. This later becomes more important.
When asked what species Yoda is, Lucas has only joked, "He's a frog." In the documentary "From Puppets to Pixels," he joked that Yoda is "the illegitimate child of Kermit the Frog and Miss Piggy." Donald F. Glut's novelization of Star Wars: Episode V The Empire Strikes Back referred to Yoda as an elf.
Second Generation Robotic Droid Series-2
When A New Hope was written it was never intended for Obi-Wan to have had a previous relationship with R2D2 or C3PO. The in universe answer is likely because Obi-Wan was cryptic and not entirely truthful with Luke.
Late in the film, Darth Vader does not recognize C-3PO who is in Cloud City with Han Solo, Chewbacca, and Leia. Although C-3PO is not completely assembled in the scene, he is definitely visible to Vader. Obviously, C-3PO does not recognize Vader because his memory was wiped at the end of Revenge of the Sith.
2019's Star Wars: The Rise of Skywalker brought the Skywalker saga to a close, but it wasn't able to give a true ending to one of its most important characters: R2-D2. R2-D2 is present when Leia dies, adding even greater tragedy to his character arc and mirroring the fact that he was also there when she was born.
While the film's human stars – Hamill, Ford and Carrie Fisher – were bathed in media attention, Star Wars' publicity team seemed all too happy to let audiences forget C-3PO was not in fact a real robot.
R2D2's Kenny Baker claimed Daniels 'didn't get on with anyone' but personally insulted and disrespected him, in particular. Baker called Daniels "the rudest man I ever met." In public, Daniels once sniffed “it was like “working with a bucket” but never addressed Baker's personal slurs.
C3PO was named after a post office which is located at reference C3 on a map of Lucas' hometown.
Kenny Baker (August 24, 1934 – August 13, 2016) was a British actor best known as the man inside of R2-D2 in the Star Wars film series.
In Star Wars Episode III R2-D2 has like, jet thrusters or something. As our heroes descend down the stairs, you get a brief shot of R2D2 going down the stairs as well.
As Indiana Jones and Sallah struggle to lift the stone case off, you can see to the side of Indy, a small pillar with hieroglyphics. This is where you can see two droids. R2-D2 and C3P0.
As R2-D2's Counterpart, C-3PO can only be added to your army as a part of R2's unit, with both contributing their abilities to the single unit. Once they enter a battle, the droids form a complementary pair, helping each other as well as the rest of their army.
Beyond TatooineTen years after his parting with Anakin Skywalker, Shmi was kidnapped by a group of Tusken Raiders, fearsome nomads native to Tatooine's desert wastes.
galleries. After Padmé Amidala's death, Obi-Wan Kenobi brought the infant Luke Skywalker to the Lars moisture farm on Tatooine, where Anakin's mother Shmi had lived. Luke yearned for adventure among the stars, but was stuck on the farm as his friends left to become star pilots at the Imperial Academy.
Although C-3PO is a tell-all, it's possible that he was directly programmed not to say who Leia is. This is something that George Lucas himself suggested in an interview back in the 1970s, which made it into the book The Making of Star Wars: The Definitive Story Behind the Original Film.
Because of his role in abetting the rise of the Empire, Binks was once again exiled by his people. After the Battle of Endor and the rise of the New Republic, he performed in the streets of Theed as a clown who was popular with children but not so much with their parents.
Originally Answered: Does Darth Vader know Leia is his daughter? Vader learned that Leia was his daughter by sensing it from Luke in Return of the Jedi. Vader learned about Luke after he sent Boba to capture Luke alive, but he escaped and Boba only managed to learn his name: Skywalker.
darth_padawan_padme Jedi YounglingIn the Clone Wars cartoons 3PO gets his gold platings because he cannot serve a senator looking like junk. Its really funny when 3PO reveals his new plating to Anakin.
Both R2 and C3P0 have had memories wiped, so they wouldn't know Ben or Yoda, now the Jedi are just playing ignorant to the fact they know them. R2 has never had his memory wiped. At least not since Phantom Menace.
R2-D2 is a droid. A droid such as the R-series has no gender whatsoever, however the actor who played R2 was male.
R2-D2 was able to fix anything (better than other similar droids). It even defeated many other droids & robots. Every droid (of R2-D2 range) had everything same (tools, processing power, artificial intelligence etc.).
R2 was also very creative and extremely intelligent in solving technical issues. BB8 is also very tech capable. BB8 appears to be a more advanced version of R2D2. So one would assume BB8 is technically superior.
R2D2 doesn't just recognise Yoda, but he will be able to remember just how he taught his students and his reputation from the Clone Wars. R2 even went on missions with Yoda!
If C3PO is a protocol droid, why is he so annoying? In-universe, the explanation is that droids who don't get their memories wiped periodically develop eccentricities. Artoo has never had his, which is why he's such a ballbuster with Threepio.
It looks like C-3PO's memory was finally fully restored, decades after it was wiped for Leia's protection in Revenge of the Sith. So not only did he remember his adventures throughout the original and sequel trilogies, but his entire life on the screen.
Part of the answer is that R2-D2, BB-8, and C-3PO certainly act as though they have a wide range of feelings. C-3PO, in particular, expresses sadness, happiness, and a lot of worry and stress.
Droids are the only beings with free will, in fact. If the Force is as deterministic as we would be led to believe by Rogue One, it would seem that free will in the Star Wars universe is, at least to some extent, an illusion. Droids aren't included in that.