Alongside Atkinson, the cast includes Gillian Anderson, Dominic West, Rosamund Pike and Daniel Kaluuya.
Dominic West will play Burton, while Helena Bonham-Carter is to portray Taylor, who died in 2011.
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Starring Dominic West, Appropriate Adult has already been honoured with TV Baftas, RTS and Broadcasting Guild Awards.
Dominic West, who starred in US crime drama The Wire, and chef Hugh Fearnley-Whittingstall, both oppose the project due to its size.
Other British nominees include Benedict Cumberbatch for Parade's End and Dominic West for The Hour - both in the running for best actor in a TV movie or mini-series.
Dominic West, famous for playing Jimmy McNulty in the hit US TV series The Wire, is to take the lead role in Jez Butterworth's new stage play.
The organisation is currently enjoying a period of artistic acclaim, with rave reviews and a sold-out run for the Crucible's production of My Fair Lady starring Dominic West.
With Dominic West and Christian Bale as the ardent young men, Rupert Everett as Oberon, Stanley Tucci as a rather muscular Puck, and David Strathairn as a businesslike Theseus.
Baroque Spring will feature a mixture of music, drama and comedy, with highlights including actor Dominic West reading poetry from the period and a celebration of the 'Genius of Bach'.
Chancellor's co-stars in The Hour - Dominic West and Romola Garai - are also nominated for Baftas for other shows, Appropriate Adult (Dominic West) and The Crimson Petal and the White (Romola Garai).
It's above all to Ms. Watson's portrayal of Janet, a heart-rending blend of steel and pathos, and to Dominic West, who brings a serial killer to convincing life onscreen, that this film owes its great power.
Gary and Sarah Francillia, who live in East Grinstead, West Sussex with their two boys Dominic and Joshua, know only too well how health issues can affect finances.
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