An adaptation of the 1938 Alfred Hitchcock film The Lady Vanishes will also make up part of 20 hours of drama from BBC Productions.
The Musketeers - intended as a returning series - has been written by Adrian Hodges (Primeval, My Week with Marilyn) and will run for ten 60-minute episodes in 2014.
The Lady Vanishes - a single 90-minute drama - has been adapted by Fiona Seres (The Silence) and is expected to air on BBC One this Christmas.
Soldier Soldier creator Lucy Gannon has also been commissioned to write six-part drama Frankie for transmission in 2013. The BBC One series will follows a district nurse - described as "a heroine for the modern age" - who fights for her patients.
"These new BBC One commissions from drama present a richly ambitious slate that will thrill, move and delight audiences," said BBC One controller Danny Cohen.
BBC Three will also air a new supernatural drama set in the aftermath of a zombie apocalypse. In The Flesh has been written by newcomer Dominic Mitchell and will run for three 90-minute instalments.
"This raft of new drama reflects the range and ambition of in-house," said Ben Stephenson, Controller, BBC Drama Commissioning,
"A unique mix of classic and contemporary pieces have produced surprising and original scripts, from both new and established writers - all of which represents a thriving creative team."