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.
Again when Agrabah was reintroduced in Kingdom Hearts II. When Sora, Donald, and Goofy arrive, Iago finds them, and warns them of a Heartless ambush. In exchange, he asks for Sora to put in a good word for him to Jasmine and Aladdin. Iago then guiltily tells Sora and Aladdin where Jafar's lamp is, in the Cave of Wonders, only to discover that the Peddler got it first. Pete then steals it from him, and Sora gets it back. During the second visit, Iago lures Sora and Aladdin to the ruins, while Jafar takes over Agrabah.
Iago is also useful in a "World Runner" deck in the short lived Kingdom Hearts card game. He appeared in the fourth and final American set, as a level 0 (Meaning he can be played if you have no other friend cards in the friend area.) If you discard him, you can remove a Heartless card from your current Agrabah world card. Which is helpful, because two of the three Agrabah cards have no dark limit, meaning your opponent can play as many Dark or Nobody cards as they wish on your world, and some of them have little means of being extinguished.
Fridge Logic: When Aladdin makes his climactic choice between using his third wish to be with Jasmine or free the Genie, Jasmine and the Sultan are standing right there. He could easily have wished to be a prince again, and then simply handed the lamp off to either one of them, who'd have three more wishes coming. Of course, this wouldn't have been half as heroic or satisfying.
Also hilarious right away considering Jafar's living conditions at the end of the movie.
Aladdin and Jasmine's world tour in "A Whole New World" includes visits to Greece and China (the latter even with fireworks); in the former case, given the subsequent cartoon crossover, that would suggest Hercules himself was around at the time.
The first lyrics in "Friend Like Me" include a reference to the Forty Thieves. Flash forward to the third movie and learn that Aladdin's father is their leader (and would've been during the first movie's events).
In one scene of the first movie, Jafar deceives Jasmine into believing that Aladdin has been executed "by beheading" (while Al is actually alive and imprisoned). In the first sequel, Al is condemned to death by decapitation, and nearly beheaded by Public Execution when Genie arrives in time to save him in a Big Damn Heroes moment. In the TV series's episode, Al finally gets his head "cut off" by Caliph Kapok... or rather separated, since the rest of Al's body is still alive while his friends find a way to reunite it with his head. Weird.
Narm: "Are You In Or Out" in King of Thieves is supposed to show the remnants of the Forty Thieves planning to return to their bloodthirsty rampaging roots after Cassim reformed them into Noble Demons. But it's hard to take some of them seriously since several of them are still humorous in design, and the lyrics include "I'm the prince of generosity" and "Imagine the fear on their faces / when we drop by for cookies and tea."
Smurfette Breakout: Jasmine is a supporting character while the story is about Aladdin, but she is included in the Disney Princess franchise and is actually the only princess in the lineup who isn't the main character in her film.
Squick: Jafar isn't particularly attractive on his own, but any scene where he puts advances on Jasmine makes him look even slimier, causing major squick! Even in the movie's own universe, Abu and Iago have a Squick noise at Jasmine and Jafar's kiss. Jasmine looks pretty grossed out as well during that.
Tear Jerker: Genie's goodbye to Aladdin made some fathers in the audience cry.
Genie: No matter what anybody says you'll always be a prince to me.
When Jasmine thinks that Aladdin has been executed, and she realizes: "I didn't even know his name!"
Badass Decay: Genie. It seems to come with being free, as he admits in Return of Jafar, where he struggles several times to get his powers to work right.
Magnificent Bastard: Jafar, while more of a Smug Snake in the first movie, became a lot more competent in the sequel, developing a more thought-out plan to take over Agrabah. If it wasn't for Iago pulling a Heel Face Turn and betraying him, he would had succeeded.
Ensemble Darkhorse: Mozenrath. While only appearing in 9 out of all the 86 episodes, there was just enough depth to his character to make him stand out from the crowd, resulting in endless theories about him and his past life.
Evil Is Cool: Many villains are seen this way, like Arbutus, Chaos, Malcho, The Mukhtar and Mozenrath. Of course, on the other hand...
Mozenrath has this with Jasmine too from time to time, with the way he's constantly teasing her and calling her cute, or gently touching her chin when she's captured. She also has a very impish smile on her face when she uses her whip on him.
Hilarious in Hindsight: In "Genie Hunt," once Genie finds out that Mukhtar is coming for him, he panics and suggests making Iago a genie in his stead and dunks the parrot in blue paint in an attempt to disguise him. In "Power to the Parrot," he actually does turn Iago into a genie.