Lisa points out that Wes Anderson, Frank Tashlin, and Tim Burton all started their careers making short films. Wes Anderson made a short film called Bottle Rocket which would later be made into the film of the same name, Frank Tashlin used to be a director for Looney Tunes cartoons at Warner Bros., and Tim Burton made Vincent and Frankenweenie (which the latter was made into a film).
When Homer and Marge walk into the Oscars auditorium, you can faintly see BANKSY written on the wall.
At one point, a portion of the Jurassic Park theme song can be heard.
Reference to George C. Scott in Hardcore: "For God's Sake Turn it Off!!" (by Sbalan)
The scene where gangsters stop aside Homer to tell him about the Oscar is a possible reference to Grand Theft Auto: San Andreas. The driver resembles CJ, the front passenger resembles Ryder and the back passenger resembles Big Smoke, the three main characters of the game.
After Homer calls Bart his little "Roman Polanski", Marge is offended at this, but Homer doesn't know what is wrong with being Roman Polanski, so after Marge whispers something bad about him in Homer's ear, Homer shouts "He what? You monster!" and strangles Bart. This is a reference to the Roman Polanski sexual abuse case, in which Polanski was arrested and charged for drugging and raping a 13 year old girl in 1977. It is possible that Marge whispered to Homer about Polanski's sexual abuse case, which also may be why Homer strangled Bart for this matter.