Don't know about chess, but there is the Memorial Museum of Cosmonautics (Мемориальный музей космонавтики), which is located inside the base of the Monument to the Conquerors of Space (Монумент "Покорителям космоса"). It was reopened in 2009 after reconstruction. And this summer saw the long-awaited reopening of the Moscow planetarium (Московский планетарий).