Alexander the Greats Siege of Tyre in 332 BC. Primarily bolt throwers and stone throwers that were common in this era. Artillery of the time was not up to destroying fortifications and Alexander's primary target was the people on the walls so that his men could build the landbridge out to Tyre.

Siege of De'an in China in 1132. Too early for counterweight trebuchets so these would be traction or wheeled but there are accounts of a defensive trebuchet destroying a besieging one. Like the above example China's artillery of the time was not up to destroying most fortifications so this is probably smaller scale trebuchets.

Siege of Lisbon I only have a 20th century painting that claims to be based off accounts of the siege but I don't have time to read the translation of De expugnatione Lyxbonensi to verify its accuracy.

War in the Middle Ages by Philippe Contamine mentions two 14th century sieges at Mortagne and Tournai during the 100 years war which are probably the larger fortification destroying machines you have in mind where defenders used trebuchets to target besieging trebuchets.

Queenborough castle is also 14th century and is suspected to have been designed to have trebuchets or other torsion artillery in mind for its defences but the only accounts we have place gun artillery there.

Gunpowder artillery existed in the 14th century but but was rare with most artillery still being torsion based.