Detail from Prince, by Gillian Carnegie, one of the artists featured in Tate Britain's Painting Now exhibition. Photograph: Tate  Painting Now Is painting still a viable art form in the 21st century? What kind of painting captures the spirit of now? And can the five artists highlighted here – Tomma Abts, Gillian Carnegie, Simon Ling, Lucy McKenzie and Catherine Story – hold a candle to the great tradition of painting? Tate Britain, London SW1 from 12 November until 9 February  Foreign Bodies, Common Ground Contemporary art explores modern medicine in this group show by B-Floor Theatre, Lena Bui, Elson Kambalu, Miriam Syowia Kyambi/James Muriuki, Zwelethu Mthethwa and Katie Paterson. All have created work out of residencies at medical research centres. Wellcome Collection, London NW1 from 14 November until 9 February  West Country to Worlds End Images of Elizabethan exploration portray great westcountrymen such as Sir Francis Drake. Royal Albert Memorial Museum, Exeter EX4 until 2 March  Marking Language This exhibition explores how artists use drawing to depict language, bringing together craft and conceptual art. The Drawing Room, London SE1 until 14 December  Claes Oldenburg A show celebrating the 20th anniversary of Oldenburg's public sculpture in Middlesbrough, Bottle of Notes. Mima, Middlesbrough TS1 until 23 January  The Mildenhall Dish Roman Britain, 4th century AD This is an astonishing masterpiece of mythological art – as well as a luxury item. It's a big silver dish decorated with scenes of satyrs and other worshippers of Bacchus, a good theme for a boozy Roman banquet. British Museum, London WC1B  That the €1bn art stash of Nazi art found in a Munich flat changes everything we thought about Hitler's views on art  Whether the Battersea Power Station overhaul will ruin the building's soul  That one photographer's love letter to Paris is full of beautiful rooftop scenes and pinball machines  What your favourite bad graffiti looks like  A list of art's greatest guerrillas  That the RA just got £12.7m lottery funding  Share your pictures of sunrise or sunset near you via Guardian Witness
Jonathan Jones: A game-changing art stash is uncovered in a Munich flat, as the plans for the Battersea Power Station revamp are released in full