Movies:
* Solo: A Star Wars Story (2018) as Han Solo
* Hail, Caesar! (2016) as Hobie Doyle
* Beautiful Creatures (2013) as Ethan Wate
* Stoker (2013) as
* Twixt (2011) as
* Tetro (2009) as
* The Yellow Handkerchief (2008) as
* The Informant! (2009) as
Television:
* The War with Grandpa (2020) as (TV Movie)
* Brave New World (2020) as John the Savage (Miniseries)
* Black Mirror (2017) as (Episode: "White Bear")
* The Pacific (2010) as (Miniseries)
* The Wire (2008) as (Season 4, Episode 9)
* The O.C. (2006) as (Episode: "The Wake-Up Call")
Other:
* The LEGO Movie 2: The Second Part (2019) as Rex Dangervest (voice)
This is not an exhaustive list, but it covers some of his most notable work. You can find a complete filmography on websites like IMDb.