The first two Toy Story movies were released before there was an animated feature Oscar category. Toy Story was released in 1995. Toy Story 2 in 1999. Toy Story 3 in 2010 came the first and only Oscar for the series so far. If Toy Story 4 wins, it will finish the series with a total of 2 Oscars for Animated Feature. Just because there wasn’t an Animated Feature category yet, the Toy Story series was nominated for, and even won, Oscars.
Toy Story was nominated for Original Screenplay, Original Song and Score by Randy Newman. Toy Story 2 was nominated for Original Song. Toy Story 3 was nominated for and won Animated Feature and Original Song, along with Best Picture, Best Adapted Screenplay and Sound Editing.
Toy Story 4 is up for Animated Feature and Original Song.
This video posted on Marvel TV’s YouTube channel shows the evolution of the Toy Story series.