The Witch and the Warrior: Wonder Woman's fight with a brainwashed Superman takes them past a billboard advertising RENT in Times Square.
Film
Team America: World Police: Gary stars in a parody of RENT called "LEASE", which exaggerates the HIV/AIDS aspect of the musical ("Everyone has AIDS").
Hedwig and the Angry Inch has Yitzak leaving the company because he's offered the part of Angel in the Polynesian tour of RENT. This Shout-Out happened because John Cameron Mitchell was offered the same part, but he turned it down because of Hedwig.
Jenny: So did you hear that the PTA is going to boycott the theater department's production of RENT? It's something about their depiction of non-normative sexual relationships.
tick, tick... BOOM!, based on Jonathan Larson's other musical, expands the story to be about Larson himself and his eventual creation of both RENT and the titular musical as a result of Superbia's failure.
Literature
In Love Anthony, Beth looks through a box of memorabilia from her college years and young adulthood, including a ticket stub for RENT.
In My Dark Vanessa, Vanessa hears one of her dormmates singing "Seasons of Love" across the hall with the door open.
The Big Bang Theory: Penny is an aspiring actress. In one episode, she gets a gig as a stand-in of Mimi in a production of Rent. It's off-screen. The episode dealt with Sheldon's escalating lie when the guys invented a cousin who is a drug addict.
Broad City: Lincoln casually wonders why the hell the characters would think they didn't have to pay rent.
The cast of Glee covered "Take Me Or Leave Me" and "Seasons of Love" on the show.
Supernatural: Dean quoting RENT as an inspirational speech for a play in an episode.
In one of his last few episodes of The Office (US), Michael's coworkers sing "Seasons of Love" to him after a disastrous award party.
Theatre
[title of show]: During "Nine People's Favorite Thing", the cast arranges themselves in a line at the front of the stage and sings "Five-hundred and twenty-five-thousand, six-hundred people/Loving our show"
Western Animation
The Simpsons: In "Behind the Laughter", Homer mentions that while The Simpsons went on hiatus, he acted in a sequel to RENT, where he played a Dastardly Whiplash landlord called Mr. Stingely.
In the Sonic Boom episode "You and I Bee-come One", this bit of dialogue is spoken after Eggman mentions that he created something to keep Sonic and friends occupied:
Orbot: Tickets to that musical about people who think they can live in an upscale city apartment for free?