Drama
* The Curious Case of Benjamin Button (2008) - Young Daisy
* We Bought a Zoo (2011) - Rosie
* Super 8 (2011) - Alice Dainard
* Ginger & Rosa (2012) - Ginger
* The Boxtrolls (2014) - Winnie (voice)
* About Ray (2015) - Ray
* 20th Century Women (2016) - Julie
* The Beguiled (2017) - Alice
* Mary Queen of Scots (2018) - Mary, Queen of Scots
* The Nightingale (2018) - Clare
* Three Thousand Years of Longing (2022) - Alithea Binford
Fantasy/Sci-Fi
* Maleficent (2014) - Princess Aurora
* Maleficent: Mistress of Evil (2019) - Queen Aurora
* The Neon Demon (2016) - Jesse
* A Rainy Day in New York (2019) - Ashleigh
Comedy
* Somewhere (2010) - Cleo
* The Nice Guys (2016) - Holly
* Everything Must Go (2010) - Sam
Other
* I Am Sam (2001) - Lucy Diamond Dawson
* Daddy Day Camp (2007) - Connie
* Phoebe in Wonderland (2008) - Phoebe
* J. Edgar (2011) - Young J. Edgar Hoover
Upcoming:
* The Nightingale (2023) (a new film based on the book "The Nightingale" by Kristin Hannah, which is *not* related to the 2018 film of the same name)
This is not an exhaustive list, but it covers some of Elle Fanning's most popular and critically acclaimed work.
You can find a complete filmography on websites like IMDb or Elle Fanning's Wikipedia page.