LONDON — Director Anna Mackmin will return to Kevin Spacey’s Old Vic theater to helm a new production of “Hedda Gabler” and Trevor Nunn will transfer his Chichester Festival Theater production of “Kiss Me, Kate” at the London venue this autumn.Mackmin’s previous productions at the Old Vic include the critically lauded revival of Brian Friel’s “Dancing at Lughnasa.” For her production of Ibsen’s drama, director will use Friel’s adaptation of the play. The cast is led by two-time Olivier winner Sheridan Smith (“Legally Blonde,” “Flare Path”) and includes Buffy Davis, Anne Reid, Adrian Scarborough and Fenella Woolgar. Designed by Lez Brotherston and lit by Mark Henderson, the production runs Sept. 5-Nov. 10 with a Sept. 12 opening. Nunn’s production of Cole Porter tuner “Kiss Me, Kate” will soon play a limited run June 18-Sept. 1 at Chichester Festival Theater. It will play the Old Vic from Nov. 20-March 2. Choreographed by Stephen Mear (“Mary Poppins”), the production is designed by Robert Jones and lit by Tim Mitchell. In a further announcement, Rob Ashford has joined the org as artistic associate. Known in the U.S. as a tuner director and choreographer (“Promises, Promises,” “How To Succeed in Business Without Really Trying” and, currently, “Evita”), Ashford garnered a considerable U.K. rep as a helmer of American classic plays during his stint as the associate director of the Donmar Warehouse. His SRO revival of Eugene O’Neill’s “Anna Christie” starring Jude Law won the 2012 Olivier for revival and his leading lady Ruth Wilson won the award for actress, a feat she’d previously pulled off in Ashford’s Donmar staging of “A Streetcar Named Desire.” Currently readying the Sheffield Theaters transfer of Michael Frayn’s “Democracy,” the Old Vic is also repped in the West End by the transfer of its revival of Frayn’s “Noises Off,” which has extended its run for a further two weeks until July 28.