- Named "Queen of Indies" by 'Time' magazine since she has appeared in some 30 films since 1994, most of them low-budget independent movies.
- In August 2009, she revealed she was suffering from Lyme disease.
- Learned to play the mandolin for her role in the Christopher Guest film, A Mighty Wind (2003).
- Is an accomplished mime.
- Has a twin brother named Chris, who practices law in Atlanta.
- Did her own singing and mandolin-playing in A Mighty Wind (2003).
- Yet another member of the "Purchase Mafia," a group of graduates from S.U.N.Y. Purchase. Alumni actors and filmmakers include Wesley Snipes, Sherry Stringfield, Stanley Tucci, Curtis McClarin, Bob Gosse, Todd Baker, Edie Falco, Nick Gomez, and Melissa Leo.
- Close friend of Jimmy Fallon. She was one of his neighbors when he lived in New York City.
- Is a contributing editor to Open City literary magazine.
- Her first name was a tribute by her father to 1950s model Suzy Parker.
- She and the other cast members have been playing concerts in role as the bands from A Mighty Wind (2003). So far they have played at the Getty Museum in Los Angeles in May 2003, and will be doing more concerts in Washington, D.C.; Boston, Massachusetts; and Upper Darby, Pennsylvania, in September 2003.
- Against the wishes of her management, she accepted two supporting roles right after the unexpected success of Party Girl (1995).
- She and Wesley Snipes both attended college at SUNY at Purchase and then, later, worked together on Blade: Trinity (2004).
- Starring in the acclaimed off-Broadway revival of David Rabe's "Hurlyburly". The production also stars Ethan Hawke, Bobby Cannavale, Elizabeth Berkley, Wallace Shawn, and Josh Hamilton. (May 2005)
- Was considered for the role of Dorothy in Jerry Maguire (1996) before it was given to Renée Zellweger.
- One of Parker's current interests is making pottery.
- Has a song named after her, written by "apocalyptic folk artist" Steve Davis. The song appears on Davis' 2006 album.
- Has been in two movies with WWE wrestler Paul Levesque (aka Triple H): Blade: Trinity (2004) and Inside Out (2011).
- Favorite musicians are Belle & Sebastian, Sigur Rós and Miighty Flashlight.
- Reuters rated her #19 in the 2003 edition of its annual "What Ever Happened to...?" list.
- Friend of Zoe R. Cassavetes.
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