Wade, whose play Posh was transferred to the West End from the Royal Court before being adapted into 2014 film The Riot Club, said "it feels brilliant".
Her latest project, a stage adaptation of Sarah Waters' novel Tipping the Velvet, has just finished in London.
Lawther played the young Alan Turing in last year's Imitation Game.
He also co-starred with Juliet Stevenson in the film Departure.
A jury of industry experts selected those who have been making a name for themselves in the worlds of film, television and gaming.
The list also includes screenwriter Tess Morris, who wrote the romantic comedy Man Up, starring Simon Pegg, Lake Bell and Rory Kinnear.
'Terrified, humbled'
Actress Letitia Wright also makes the grade - she recently appeared in Russell T Davies's Cucumber and Banana on Channel 4 and E4.
Jenny Saunders, who co-developed and produced BBC One documentary, Baby P: The Untold Story, is also named.
"I am terrified, humbled and excited... I can't wait to see where this leads," she said.
Previous names listed by Bafta include Eddie Redmayne and This is England creator Shane Meadows.