For a Christmas-weary Brit who's already had it up to here with commercial bonhomie and festive schmaltz, there were going to be barriers to overcome. Here is an avowedly sweet American play – actually nine playlets – on the subject of love, set in snowy Maine, in a small town "that doesn't quite exist". In John Cariani's two-handers, lovers most often – although not quite always – overcomes disappointment, misunderstandings or awkwardness to reach mini-happy endings.

There are moments in this collaboration between performer and theatre impresario Christopher Green and best-selling novelist Sarah Waters, where, rather like with a Stewart Lee stand-up routine, the audience has to make a conscious decision whether they are going to go all the way not so much with the idea presented, but with the mode of presentation. There are times in The Frozen Scream when it feels like the punchline is getting further away rather than closer.

All that glisters is not gold in the casino and television game-show world of Rupert Goold’s American Shakespeare, first staged by the Royal Shakespeare Company in 2011. Not all the accents are gold either, though working on them only seems to have made a splendid ensemble underline the meaning of every word all the better – and having come straight from the often slapdash verse-speaking of the RSC’s Henry IV, that comes as all the more of an invigorating surprise.

Heritage Shakespeare for the home counties and the tourists is just about alive but not very well at the Royal Shakespeare Company. If that sounds condescending, both audiences deserve better, and get it at Shakespeare’s Globe, where the verse-speaking actually means something and the communication is much more urgent.

British theatre company 1927 celebrate their 10^th birthday next year. Over this nearly-decade they have produced just three shows (plus a reimagining of The Magic Flute for Berlin’s Komische Oper). If that seems a little like slacking then you’ve obviously never seen one of their creations. To say they are meticulous is true, but also fails to reflect the sense of imaginative excess, of abundance, that pulses through everything they make. Animation, live action, music, song, dance and mime all have a place in their world.

The musical that defined an era is back on the West End, allowing a new generation to see what all the fuss was about 33 years ago when a non-narrative extravaganza as heavy on dance and scenic effects as it was light on plot launched itself in London and, soon after, the world. The terpsichorean ambition of Cats is holding up pretty well now, it must be said, thanks in large part to a new breed of triple-threat performer whose movement skills were harder to come by three decades ago.

Strange world, isn’t it? Yesterday morning, buoyed up by the Royal Opera’s impressive Tristan und Isolde, I was listening on CD to Linda Esther Gray, a Wagnerian soprano for the ages, singing the best Liebstod I know. In the evening, I was watching Linda “Sue Ellen” Gray declaiming the traditional couplets of Cinderella’s Fairy Godmother, very musically – she always was a good actress, I reckon – if not as yet with immaculate timing (crikey, though, I've just found out she's 74).

With a bloodthirsty, corpse-devouring plant called Audrey at the centre of events, we can only be in the Little Shop of Horrors. It’s a far cry from Jack and the Beanstalk, but the Royal Exchange is known for providing alternative and, usually, zany seasonal entertainment. And they don’t come any zanier than this, especially under Derek Bond’s zippy direction.

A chalky-faced man stands in the shadows and his limbs jolt about, as if battling for position beneath his skin. This is the ghost of Hamlet's father and he is a fearful sight in ACS Random's Victorian and spectral take on Shakespeare's tragedy. When Hamlet senior's spirit croaks "Remember me!", it seems superfluous. This is a creature impossible to forget, even if this production's real-life characters aren't as vibrant as its figures from beyond the grave.

The single spacious room that is the central location of Tena Štivičić’s 3 Winters has seen plenty of ghosts. It’s part of an old Zagreb mansion, and through the course of the play witnesses the diverse events of Croatian history of the last 70-odd years played out in miniature. Three overlapping time-schemes chart the full rotations of surrounding society: from the war-end move towards Communism in 1945, through 1990 eve-of-break-up Yugoslavia, and on to 2011, not long before EU accession.