Films:
* The Social Network (2010) as The Winklevoss Twins
* J. Edgar (2011) as Clyde Tolson
* Mirror Mirror (2012) as Prince Andrew Alcott
* The Lone Ranger (2013) as John Reid / The Lone Ranger
* The Man from U.N.C.L.E. (2015) as Napoleon Solo
* Nocturnal Animals (2016) as Ray Marcus
* Call Me By Your Name (2017) as Oliver
* On the Basis of Sex (2018) as Martin Ginsburg
* Rebecca (2020) as Maxim de Winter
* Death on the Nile (2022) as Simon Doyle
* The Offer (2022) as Al Ruddy (Miniseries)
* Billion Dollar Wall (2023) as William Browder
Television:
* Gossip Girl (2007-2012) as Gabriel Edwards (Recurring role)
* The Offer (2022) as Al Ruddy (Miniseries)
Upcoming Projects:
* The Kill List (2023) (Filming)
* The Offer (2023) (Miniseries)
Note: It's important to mention that Armie Hammer's career has been significantly affected by controversies in recent years. He hasn't had any major releases since 2022, and his future projects are still uncertain.
This is not an exhaustive list, and there may be other lesser-known projects. However, it provides a good overview of his most prominent roles in film and television.