In fact, The Hobbit: The Battle of the Five Armies received only one Oscar nomination (for "Achievement in Sound Editing"), whereas The Hobbit: The Desolation of Smaug received three nominations and The Hobbit: An Unexpected Journey received four nominations.
In my review of An Unexpected Journey, I noted that the movie has a "decidedly different feel" than Jackson's The Lord of the Rings trilogy. This was an unfortunate decision on Jackson's part which not only cost him the gratitude of many fans, but maybe also a few Oscar nominations and even wins.
The Tolkien Society compared Jackson's nominations and wins for his two Tolkien trilogies:
- The Lord of the Rings: The Fellowship of the Ring – 13 nominations, 4 wins (second-highest number of nominations ever)
- The Lord of the Rings: The Two Towers – 6 nominations, 2 wins
- The Lord of the Rings: The Return of the King – 11 nominations, 11 wins (joint highest number of wins ever – shared with Ben-Hur and Titanic)
- The Hobbit: An Unexpected Journey – 4 nominations, 1 win
- The Hobbit: The Desolation of Smaug – 3 nominations, 0 wins
- The Hobbit: The Battle of the Five Armies – 1 nomination