Peel the turnips and cut them into wafer-thin slices (e.g. with the bread slicer). Mix the balsamic vinegar, oil, salt, sugar and pepper and pour over the beetroot slices. Marinate in the refrigerator for approx. 1 hour.
Place about 12-15 slices on each plate, garnish with ham, rocket, mushrooms and tomato. Pour some of the beet sauce over it and season with black pepper.