Using the Kaio-Ken Attack during an opponent's ultimate that destroys the planet will cause Goku to be stuck with the appearance of Kaio-Ken. The glitch reverts once Goku does the Kaio-Ken attack again or does the actual Kaio-Ken itself and waits for the Kaio-Ken to wear off.
When Future Trunks is tagged out in a tag battle, he says "Back to the future" possibly in reference to the popular sci-fi film of the same name.
If Super Saiyan 3 Gotenks is tagged out in a tag battle, he will say "Peanut-butter jelly time!" as a reference to the popular internet meme.
If Zangya is matched with Android 18, Zangya will say "Your man is kinda cute." Android 18 responds by calling Zangya a "skank." This was removed in Budokai Tenkaichi 3.