Place pizza stone (if you have one) into the oven and preheat oven to 200C.
Place the cold lamb in the food processor and pulse once or twice until finely chopped.
Add spring onions, tomatoes, parsley, garlic, cumin, paprika, chilli flakes, salt and pulse until all is finely chopped and well combined, but stop before it gets too mushy.
Lightly drizzle the flat breads with olive oil, then spread the meat mixture evenly out over each of them.
Cook on the stone, in hot oven for 10-12 minutes, until edges are browned and crisp.
To serve, drizzle with a tiny bit more olive oil, sprinkle with sesame seeds and then the yoghurt. Serve immediately.