In a gallery darkened to evoke the seabed that was its resting place for over a thousand years, the colossal figure of Hapy, the Egyptian god of the Nile flood, greets visitors just as it met sailors entering the busy trading port of Thonis-Heracleion some 2,000 years ago. One of the largest objects ever loaned to the British Museum, Hapy symbolises the prosperity bestowed upon Egypt by the river Nile, but whose waters ultimately brought about the destruction of the ancient cities of Canopus and Thonis-Heracleion, which subsided into the sea in the 8th century AD.

You are a massive cock. A gigantic tool. You are a monumental prick. Grayson Perry did not mince his message as he concluded his portrait of modern maleness with a tour of the City of London. At the end of each programme he has presented the subjects of his study with an artistic response to their world. The men working in so-called financial services inspired him to create a work called Object in Foreground (pictured below) in the shape of a giant penis.

Asking theartsdesk's theatre photographer to review Photo London is like asking a car mechanic to review the London Motor Show. "Remember the big picture!" I kept telling myself as I tried to deconstruct the lighting of a particular shot or measure the depth of field.

Today we amuse ourselves with Facebook clips of talking cats, but in the 1850s they had stereographs, pairs of identical photographs that, viewed through special lenses, become suddenly and gloriously three-dimensional. Vistas open up as if by magic, the illusion of space all the more beguiling for its transience. The act of looking through a special pair of glasses is a little bit like peeping behind a curtain, the intimacy of the encounter adding a slightly voyeuristic frisson to all manner of subject matter from landscapes to mock-ups of popular paintings.

Mona Hatoum was born in Beirut of Palestinian parents. She came to London to study at the Slade School in 1975 and got stuck here when civil war broke out in Lebanon, preventing her from returning home. In effect, she has been living in exile ever since and the sense of displacement and unease induced by being far from home permeates much of her work.

An exceptionally wide-ranging exhibition of paintings, sculptures, drawings and lithographs by Alberto Giacometti (1901-1966) commemorates the 50th anniversary of his death. Amidst the flurry of Giacometti exhibitions – the National Portrait Gallery’s Pure Presence last autumn and a huge exhibition at Tate Modern to come next spring – this anthology is unmissable for the different contexts it offers.

You wouldn't judge a painting on how it would look in your own home, but textiles are different: in fact it is exactly this assessment that counts. A length of fabric laid flat is a half-formed thing: it needs to be cut, stitched and draped before we can appreciate it, and even then it must take its place within an interior, domestic or public, before we can really understand it. Fabrics need – to coin a terrible, but useful expression – to be activated.

This exhibition – the UK's first major exploration of the history of Sicily – highlights two astonishing epochs in the cultural history of the island, with a small bridging section in between. Spanning 4,000 years and bringing together over 200 objects, it aims to "reveal the richness of the architectural, archaeological and artist legacies of Sicily", focusing on the latter half of the seventh century BC and the period of Norman enlightenment, from AD1000 to 1250.

“Look at the pictures”, yells apoplectic Senator Jesse Helms as he brandishes a clutch of photographs by Robert Mapplethorpe, “a known homosexual who died of AIDS”. It's 1989 and Senator Helms is doing his level best to close down an exhibition of Mapplethorpe’s photographs at the Contemporary Arts Centre, Cincinnati and have its director, Dennis Barrie, indicted for obscenity.

It can be given to few commercial galleries to have sustained a relationship with the same artist for over 130 years, but such is the link between The Fine Art Society and James McNeill Whistler (1834-1903).