Heat the oven to 180C/160C fan/gas 4. Heat 1 tbsp oil in a non-stick pan over a medium heat and stir-fry the beef and garlic until the beef changes colour but is not fully cooked. Stir in the paprika, passata, peppers, both cans of beans, olives and 2 tsp thyme with the bouillon. Cover and simmer for 10 mins.
Meanwhile, for the topping, toss the potatoes with the onion, remaining 1 tbsp oil and 1 tsp thyme until the veg is fully coated. Tip the beef mixture into a shallow oval ovenproof dish (ours was 30 x 20cm) and top evenly with the potatoes right up to the edges of the dish. Cover with foil and put on a baking sheet. Bake for 1 hr, then remove the foil and bake for 20 mins more until the potatoes are tender and starting to turn golden. Will keep frozen for up to three months.
Remove from the oven and leave to cool a little while you steam or boil the broccoli florets for 8 mins or until just tender. Serve the pie in its dish for scooping, with the broccoli on the side.