When Comic Book Guy throws the sledgehammer into Steve Mobbs' image on the wall video screen (after Bart hacked into the newsfeed to play a joke on the Mapple Store shoppers), it is a reference to the "1984" Super Bowl commercial that introduced the Macintosh personal computer.
Homer mentioned Osama Bin Ladin.
Bart tries to use a MyCube to help in his escape from the store, and all that happens is that the MyCube plays music. The song it plays is Lovin' You by Minnie Riperton.
Homer's dream references the 1992 Disney film Aladdin with its carpet ride, Robin Williams' Genie, and music in the style of A Whole New World. Dan Castellaneta, Homer's voice actor, voiced the Genie in the first sequel (The Return of Jafar), the animated series and the Kingdom Hearts video game series (namely Kingdom Hearts and Kingdom Hearts II).
As Homer dives into the river to save the Duff Beer, James Bond-like music is heard.
Mapple's undersea headquarters are accessed via a submersible that resembles a USB flash drive.
When Homer runs into the old Springfield Mall if you look closely Hans Moleman can be seen to his left. But when the Duff truck crashes and Homer swims to save the beer, he's trapped in the truck.
When Krusty gives Lisa the MyPod, and when Lisa shows her music to Sherri and Terri, her MyPod is like the iPod Classic. But when the three of them watch the exclusive episode of Itchy & Scratchy, her Mypod is like the iPod Touch. The giveaway is that there are no buttons in the center, and the homescreen has apps.
When Homer is flying on the magic carpet, he's covered in his blanket, but when the camera zooms out, his blanket is gone.
When the Duff trucks crash and Homer swims to save the Duff, one of the trucks is a double trailer, but both of the trucks that went off the edge of the bridge only had one trailer.
When Bashir leaves the dining room if you look closely you can see that his eyebrows disappear.