What movie and television projects has Gwyneth Guthrie been in?

It seems you are referring to Gwyneth Paltrow, not Gwyneth Guthrie. There is no known actress named Gwyneth Guthrie.

Gwyneth Paltrow is a well-known actress with a diverse filmography. Here are some of her notable projects:

Movies:

* Shakespeare in Love (1998) - Won Academy Award for Best Actress

* Emma (1996)

* Seven (1995)

* Sliding Doors (1998)

* The Talented Mr. Ripley (1999)

* A Perfect Murder (1998)

* Iron Man (2008)

* Iron Man 2 (2010)

* Iron Man 3 (2013)

* Avengers: Age of Ultron (2015)

* Avengers: Endgame (2019)

* Contagion (2011)

* The Royal Tenenbaums (2001)

* Shallow Hal (2001)

* Proof (2005)

* Sylvia (2003)

* Country Strong (2010)

* The Politician (2019-present)

* Glee (2010-2015)

Television:

* Glee (2010-2015) - Guest appearance

* The Politician (2019-present) - Co-creator, Executive Producer, Lead Role

* The Goop Lab (2020-present) - Host and Executive Producer

This is just a partial list of her work. You can find a more comprehensive list of her projects on websites like IMDb or Wikipedia.