Preheat the oven to 200C fan-forced (220C conventional). Place pizza bases on two large baking trays lined with baking paper. Spread with babaganoush, top with cheese and season with salt and pepper.
Top with broccolini and scatter with 'nduja. Place in the oven and bake for 15-20 minutes, rotating the trays halfway through the cooking time, until the cheese is golden and bubbling and broccolini is charred.
