Step 1: A berry aneurysm is a thin-walled saccular outpouching at the arterial bifurcations of the circle of Willis, which sits within the subarachnoid space.
Step 2: Because the aneurysm lies in that space, its rupture spills arterial blood straight into the subarachnoid compartment, giving the picture of a thunderclap headache from subarachnoid hemorrhage. This is the leading cause of spontaneous subarachnoid bleeding (trauma being the overall most common cause).
Step 3: The other choices have different mechanisms: subdural from bridging veins, extradural from the middle meningeal artery, and intraparenchymal from hypertensive vessel rupture. They do not arise from berry aneurysm rupture.
Step 4: Hence rupture of a berry aneurysm produces subarachnoid hemorrhage.
\[\boxed{\text{Subarachnoid hemorrhage}}\]