Aang's outfit in his first dream fight scene is an homage to Dragon Ball Z (1989). His second dream fight costume is an homage to Vash the Stampede from Trigun (1998). In the third, he is wearing his traditional airbender clothes. In the final dream, the costume is meant to mirror Ozai's. In Aang's hallucination where Momo and Appa have a sword battle, Momo is dressed like the comic book character Miyamoto Usagi.
Aang uses the drawing of Firelord Ozai he received during his tenure at the Fire Nation school in The Headband (2007) as target practice.
During the dream sequence in which Momo and Appa fight, Momo scratches his face. This may be an homage to Toshiro Mifune in Seven Samurai (1954) who scratched his face regularly.