Schweig's numerous screen credits (over thirty) include his portrayal of Uncas in the epic motion picture The Last of the Mohicans (1992) and Pike Dexter in the movie Big Eden (2000), for which he won the Grand Jury Prize at the Outfest film festival. In 1992, he was cast as Black Thunder in the Canadian Broadcasting Corporation mini-series By Way of the Stars. Among his period film credits since The Last of the Mohicans, Eric became the famous Mohawk leader Joseph Brant/Thayendanegea for TNT's telefilm The Broken Chain (1993), playing for the first time the main character in a movie (Schweig appeared with Wes Studi again for this motion picture). It was shot primarily in North Carolina. He starred in Disney's The Scarlet Letter and Tom and Huck with Amy Wright in 1995. In 1996 he appeared as a Comanche protagonist, Buffalo Hump, in the Larry McMurtry miniseries Dead Man's Walk. More recently, he played the lead role in films addressing more contemporary issues facing aboriginal and Native American people: Skins (2002), Cowboys and Indians: The J.J. Harper Story (2003) and One Dead Indian (2006).