Treasures from Budapest – phew! It’s overwhelming. One staggers out quite cross-eyed and wobbly-kneed. There are over 200 works, for heaven’s sake. And so many Virgins: sweet-faced Italian Madonnas, austere Eastern European Madonnas, pallid German ones. There’s a tiny, exquisite yet unfinished Raphael Madonna, known as The Esterházy Madonna, since much of the collection of Old Masters shown here was amassed by Prince Nikolaus II Esterházy. Oh, and there’s the stubby-nosed, chinless Viennese one by an unknown altar-piece painter (such an arrestingly odd face; are her eyes actually going in the same direction?). She can’t compete in the beauty stakes, but you’re spoiled for choice in the line-up.

Rachel Whiteread is best known for her exploration of space, of presence and absence, of how we look at what is present – and absent – in the textures of our lives. House, her life-sized cast of a house in a derelict street in East London, first brought her to fame, and more recently Untitled (Plinth), her mockingly affectionate take on the empty plinth in Trafalgar Square, a resin-cast replica of the plinth itself, literally shaped a new viewpoint of that absence in the heart of the West End.

I must admit that I enjoy killing things and, since the target of my murderous instincts are clothes moths, fruit flies and, occasionally, rats or mice, society condones my bloodthirsty instincts. But while I get some satisfaction from my exploits, the women in Paula Rego’s drawings and prints appear to go about their murderous business with a mixture of resignation and detachment. These things have to be done, their world-weary faces seem to say, let’s expedite them with as little fuss as possible.

Picasso the genius, the sensualist, the womaniser, the priapic beast. This much we think we know of the great Spanish artist. But how about Picasso the political activist? Picasso the supporter of women’s causes? Picasso the… feminist? Oh, yes, that Picasso. In a landmark Liverpool exhibition focusing on the years 1944 to his death in 1973, and bringing together 150 works from around the globe, Picasso becomes all of these things.

This superb exhibition of Italian Renaissance drawings, featuring 100 works and chosen from the outstanding graphic collections of the Uffizi and the British Museum, explores the evolution of the preparatory sketch in the 15th century. We learn how artists began to experiment with the medium in order to create finished paintings that were far more compositionally and stylistically ambitious, far more dramatic and full of movement, than anything that had come before. And though the drawings themselves were never meant to be seen outside the artist’s studio, we learn that by the early part of the 16th century, drawing had gained great importance as a medium in its own right.