2010s
In November 2010, Anderson portrayed Wallis, Duchess of Windsor in Any Human Heart – a television adaptation of William Boyd's novel of the same name, for which she was nominated for a BAFTA for Best Supporting Actress on Television. In April 2011, she starred in the BBC adaptation The Crimson Petal and the White as Mrs. Castaway, for which she was nominated for the Broadcasting Press Guild Award for Best Actress. In August 2011, she appeared in the television miniseries Moby Dick based on Herman Melville's novel Moby-Dick (1851), as Elisabeth, Ahab's wife. The same year, Anderson appeared as the head of MI7, Pamela Thornton, in the British comedy Johnny English Reborn. She starred as Miss Havisham in a three-part BBC adaptation of Great Expectations that aired in late December 2011. For her portrayal in the adaptation she won the Artistic Excellence Award, was nominated for the Critics' Choice Television Award for Best Actress in a Movie/Miniseries and for the Broadcasting Press Guild Award for Best Actress.
In 2012, Anderson appeared in a Swiss drama film, Sister, and in Shadow Dancer – a British-Irish drama film based on the novel of the same name, about the Irish republican movement. Anderson voiced the character of Dr. Miki Hokuto in the English-language version of Studio Ghibli's From Up on Poppy Hill, which was released in March 2013. The same year, she starred in the Canadian techno-thriller I'll Follow You Down and appeared in Mr. Morgan's Last Love with Michael Caine.In May 2013, Anderson began starring as DSI Stella Gibson in The Fall, a critically acclaimed crime drama series for BBC Two and RTÉ One. Anderson was praised for her portrayal of the cool, self-assured Gibson, and was nominated for several awards. She also became an executive producer for the programme from its second series. Between 2013 and 2015, Anderson played Dr. Bedelia Du Maurier, Hannibal Lecter's psychiatrist, on the NBC series Hannibal. In 2014, Anderson was promoted from a recurring character during the first two seasons, to a series regular for the third season. In 2014, Anderson starred in the British independent science fiction film Robot Overlords alongside Sir Ben Kingsley. That year, she also appeared in Jeffrey D. Brown's drama Sold, portraying Sophia, a character based on the humanitarian photographer Lisa Kristine. The film presents the issues of child trafficking and sexual slavery in India, and is based on Patricia McCormick's novel of the same name.
In July 2014, Anderson gained critical acclaim for her stage performance as Blanche DuBois in A Streetcar Named Desire by Tennessee Williams at the Young Vic Theatre in London. She won the Evening Standard Theatre Award for Best Actress and received her second Laurence Olivier Award nomination for Best Actress. The production became the fastest-selling show in the theatre's history, and the run was extended by two weeks due to the demand for tickets. In the first collaboration between the Young Vic Theatre and National Theatre Live, the show was broadcast live to over 1100 venues on September 16, 2014. Thus far, it has been screened in more than 2000 venues. In February 2015, Anderson directed and starred in a short film prequel to A Streetcar Named Desire, titled The Departure, written by novelist Andrew O'Hagan. This is part of the Young Vic's short film series, which is produced in collaboration with The Guardian.
In October 2014, Anderson published her first book, A Vision of Fire, co-authored with Jeff Rovin. The book is the first novel of what has developed as The Earthend Saga trilogy. The publisher describes it as "a science fiction thriller of epic proportions". In December 2015, Anderson and Rovin published their second novel of the trilogy, A Dream of Ice. In January 2016, Anderson portrayed Anna Pavlovna Scherer in BBC One's television adaptation War & Peace. The same month, she returned to portray FBI Special Agent Dana Scully in the six-episode tenth season of The X-Files. Anderson has fought and succeeded in securing equal pay with her male co-star on The X-Files in the '90s and again in 2015, when negotiating her salary with the network. She has always been outspoken about her struggle for equal pay in the role.
From April 23, 2016, through June 4, 2016, Anderson reprised her role of Blanche DuBois in A Streetcar Named Desire on stage at the new St. Ann's Warehouse in Brooklyn, New York City. On September 13, 2016, Anderson and Rovin published The Sound of Seas; their third and final novel of The EarthEnd Saga trilogy. The same month, she returned to portraying DSU Stella Gibson in the third series of The Fall. Anderson is the narrator of the English dub of Ronja, the Robber's Daughter – Studio Ghibli's anime, which began streaming on Amazon Prime in January 2017. In February 2017, Anderson portrayed Edwina Mountbatten in Gurinder Chadha's Partition drama film Viceroy's House (2017).
On March 7, 2017, Anderson and the journalist-activist Jennifer Nadel published their self-help guide book for women, titled WE: A Manifesto for Women Everywhere. Anderson stated that the book is a "call-out to all women around the world – and by women I include girls, transgender, anyone who identifies themselves as being intrinsically female." In April 2017, she played goddess Media in the first season of American Gods – a television series adaptation of Neil Gaiman's science fiction novel of the same name. Following the departure as showrunners of the show's creators, Bryan Fuller and Michael Green, Anderson stated she would not return to the show. In October 2017, Anderson appeared alongside Glenn Close and Christina Hendricks in Crooked House – a film adaptation of Agatha Christie's novel of the same name. In January 2018, she was back playing FBI Special Agent Dana Scully in the eleventh season of The X-Files. In January 2018, she confirmed that she would be leaving The X-Files after the end of the season. Anderson is set to portray the role of Captain MacLaren in Star Citizen's single-player component Squadron 42. In January 2019, she began playing Jean Milburn in the Netflix dramedy Sex Education.
From February 2, 2019, through May 11, 2019, Anderson portrayed Margo Channing in a stage production of All About Eve at the Noël Coward Theatre for which she received her third Laurence Olivier Award nomination. On September 7, 2019, it was announced that she will portray former British Prime Minister Margaret Thatcher in the fourth season of the Netflix historical drama series The Crown. Anderson is the second American actress (after Meryl Streep in The Iron Lady) to portray Thatcher in a major production. In a statement Anderson said: "I am so excited to be joining the cast and crew of The Crown and to have the opportunity to portray such a complicated and controversial woman, Thatcher was undoubtedly formidable but I am relishing exploring beneath the surface and, dare I say, falling in love with the icon who, whether loved or despised, defined an era."