During the sequence in which Todd and Mr. Peanutbutter chase after the latter's phone in the sewer, the Oscar nominees fall out of Mr. Peanutbutter's pocket.
One of the possible nominees for Best Actor is listed as "Black People?" complete with the question mark but is crossed out. One of the numerous controversies involving the Academy Awards the last few years has been the lack of non-white actors nominated in the acting categories.
As seen on the board, the nominees for Best Supporting Actor are Christian Snail, Mark Buffalo, Shark Rylance, Sylvester Stallion and "Tom Hardy (who is a cat)," the latter being written out exactly that way. Those are the animal versions of the real nominees for Best Supporting Actor at the Academy Awards 2016.
All of the Best Director nominees are female directors. One of the numerous controversies involving the Academy Awards the last few years is how no female filmmakers have been nominated for the Directing award since Kathryn Bigelow became the first woman to win (for The Hurt Locker (2008)). The most infamous was when Ava DuVernay - one of the listed nominees here - was considered a front-runner for the nomination for Selma (2014) and ultimately was not nominated.
When Todd and Mr. Peanutbutter are chasing the phone in the sewer. the four sewer workers that are turtles wearing different colored bandannas, an obvious nod to the Ninja Turtles.