The museum holds works by numerous artists, including Miquel Barceló, Joseph Beuys, Joan Brossa, Juan Francisco Casas, Jake and Dinos Chapman, Eduardo Chillida, Salvador Dalí, Óscar Domínguez, Manolo Millares, Joan Miró, Juan Muñoz, Jorge Oteiza, Pablo Palazuelo, Pablo Picasso, Antonio Saura, Antoni Tàpies, Juan Uslé, and Darío Villalba.
As a protest against this piece, Aaron Barschak (who later gate-crashed Prince William's 21st birthday party dressed as Osama bin Laden in a frock) threw a pot of red paint over Jake Chapman during a talk he was giving in May 2003.
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An early piece consisted of eighty-three scenes of torture and disfigurement similar to those recorded by Francisco Goya in his series of etchings, The Disasters of War (a work they later returned to) rendered into small three-dimensional plastic models.
Less Than Jake | Jake Gyllenhaal | Tracy Chapman | Steven Curtis Chapman | Jake Garn | George Chapman | Roy Chapman Andrews | Mike Chapman | Jake | Graham Chapman | Beth Nielsen Chapman | Selena y Los Dinos | Mark David Chapman | Jake Roberts | Jake Nava | Jake LaMotta | Jake and Dinos Chapman | Herbert Chapman | Jake Drake-Brockman | Chapman Stick | William Chapman | The Judge and Jake Wyler | Roger Chapman | Mary Chapman | Jake Kaufman | Jake Ballard | Colin Chapman | Chapman University | Jake Wood | Jake Shears |
He shifted the focus to exhibitions of contemporary artists, who have included Cecily Brown, Jake and Dinos Chapman, Tracey Emin, Gary Hume, Daniel Buren, Stella Vine, Sol LeWitt and Kerry James Marshall.
In 2011 Semple curated the Mindful exhibition in 25,000 sqft Old Vic Tunnels featuring artists including Jake and Dinos Chapman, Tracey Emin, Mona Hatoum, Mat Collishaw, Sebastian Horsley, Sarah Lucas, Barney Bubbles, Liliane Lijn, Tessa Farmer and Semple himself.
In 2000, he started the business Counter Editions with Matthew Slotover, publisher of Frieze magazine, (Slotover has since left) to sell prints online by artists such as Jake and Dinos Chapman, Emin and Rachel Whiteread.