With her strong, often fierce features and her convincing simulations of rage, Kate Fleetwood might have been born to play Medea. Unfortunately this isn’t Euripides’ Medea but Rachel Cusk’s free variations on the myth rather than the play.

Stop press: our rampant celebrity culture might not be wholly positive! If you’ve already been apprised of that fact some time in the past century, go ahead and skip actor Daniel Dingsdale’s debut play, which – along with Steve Thompson’s similarly outmoded Roaring Trade in the main house – stifles the often creatively programmed Park Theatre’s claim to relevance.

No doubt this sophisticated bagatelle starring Mark Rylance worked like a charm in the intimate space and woody resonance of the Sam Wanamaker Playhouse.

Theatre is in the very bones of this bold adaptation, with the Lyric gifted a cameo role: past productions are fleetingly pastiched in a flashback to the era of the venue’s foundation. Laura Wade and Lyndsey Turner translate the vividly immediate first-person narrative of Sarah Waters’ 1998 novel into a world coloured by the experience of their heroine, whose coming-of-age story is sparked by the stage: make-believe illuminating the truth of her sexual identity.

Entertaining our troops overseas has already proved a fruitful subject for drama, and not only for its show-within-a-show potential. Peter Nichols’ Privates on Parade – revived in the West End three years ago – combined latrine-level banter and tawdry cabaret to create pathos and comedy. Now, updating the military status quo, comes The Sweethearts, a new play by Sarah Page marking the first anniversary of the withdrawal of British troops from Afghanistan.

Iliad is the third collaboration between National Theatre Wales and “the two Mikes”, directorial duo Pearson and Brookes. The pair have been responsible for two previous highlights of the still young company’s back catalogue, The Persians (2010) and Coriolan/us (2012). Aeschylus was re-imagined on a Brecon Beacons military range and Shakespeare recast in an RAF aircraft hangar, so it is perhaps surprising that the ultimate epic drama of war is staged in an actual theatre, the compact and modern Ffwrnes in Llanelli.

“Comedy, love and a bit with a dog,” counselled Henslowe in Stoppard’s Shakespeare in Love, and his populist advice is taken to heart in this broad, bawdy, big-hearted farce untroubled by nuanced characterisation or context. Jessica Swale’s modern-language Restoration romp ensures a lively end to the Globe’s season, but playing to the galleries does a disservice to her trailblazing heroine.

Brian Friel’s Living Quarters ranks with his best plays but isn’t well known. This powerful story of family dysfunction was first performed in the UK in 1991, directed by Andrew Hilton for Bristol’s legendary pub theatre company Show of Strength and was then not seen on the English stage until now – once again with the Bristol director at the helm.

It’s been a turbulent few months for Edinburgh’s Lyceum Theatre, with a substantial cut in funding from Creative Scotland last October, followed by the (unrelated) announcement that Mark Thomson, artistic director since 2003, would step down at the end of the current season.

Writer Anthony Horowitz is a busy man. Having written more than 40 books, he has also worked in many media. One year, he’s penning another series of the ever-popular Foyle’s War; the next he’s reviving the world of Sherlock Holmes in novels such as Moriarty; then it’s onto James Bond with Trigger Mortis. Now he casts his eagle eye on Saddam Hussein and shows how the blood-thirsty Iraqi dictator, who was paranoid about being assassinated, used to call in at the homes of private citizens, asking to eat and to stay.