Preheat the oven to 200°C.
Core the apples and slice them into thick rings, approximately 2–3 cm wide. Unroll the puff pastry sheets and slice them into long strips roughly 3 cm wide. Take one strip of pastry and begin wrapping it around an apple ring, threading and looping it through to create a complete wreath. Repeat the process until all the apple rings are wrapped.
Place the prepared rings onto a lined baking tray. Brush each ring generously with melted butter, ensuring the entire surface is coated.
In a small bowl, combine the caster sugar and cinnamon to make a spiced sugar mixture. Sprinkle this mixture liberally over each ring, allowing a thick coating that will form a sweet, crisp crust when baked.
Transfer the tray to the preheated oven and bake the pastries for approximately 20 minutes, or until they are golden, puffy, and cooked through.
Allow the pastries to cool slightly before serving. To serve, dust with icing sugar and place a scoop of vanilla ice cream on top of each ring.