In Aladdin, the villain's parrot sidekick is named Iago. Which, considering it's set centuries before Shakespeare was even born, is just another ingredient of the Anachronism Stew that Aladdin serves up.
Film — Live Action
Baron Sardonicus and Sir Cargrave bring up Iago while discussing about evil characters in Shakespeare's work during dinner in Mr. Sardonicus.
In The Punisher, the title character's plan for revenge against the man who killed his family is very similar to Iago's plan against Othello.
In Dom Casmurro the main character watches it in the theater.
The titular character of Mrs Dalloway by Virginia Woolf quotes Othello when she thinks to herself that "if it were now to die 'twere now to be most happy."
Angel's "Soulless" includes Angelus comparing Gunn and (Wini)Fred to Othello and Desdemona, respectively, and Wesley to Cassio. They were involved in a love triangle for over a season, in which Fred chose Gunn over Wes, but Wes and Fred had feelings for each other at this point and Gunn recently walked in on them kissing. This is also a reference to Angelus pitting the team against each other (like Iago) and Gunn who is the black guy and feels as though his skills are going unrecognized.
The father in Eugene O'Neill's Long Day's Journey Into Night professes a love for Shakespeare, and for Othello in particular. The reason for this is because he "bought the play," meaning that he'd make a lot of money but he would have to do the same play for the rest of his acting career.
In one scene in The Man From Mukinupin by Dorothy Hewett, a group of travelling actors perform an abridged version of Othello in the Mukinupin town hall. Among other things, it's one of the places where Hewett was poking at the commissioning body's rules about representation of colored people (the actor playing Othello is white and does the role in blackface, which was apparently more acceptable to the commissioning body than having an actual person of color in the play).
Tosca: In his first scene, Scarpia explicitly compares himself to Iago, apparently for no other reason than to make sure that the audience knows who the bad guy is from the start.
Iago from Fire Emblem Fates is very much like his namesake from Othello, being an adviser who hates the main character and tries to make them as miserable as possible.
The Gargoyles arc involving Coldstone borrows heavily from Othello. Coldstone is in the role of Othello, Goliath is Cassius, the antagonist gargoyle (Coldsteel) is credited as Iago initially, and the female (Coldfire) is credited as Desdemona originally.