Okay, gotta correct that a bit upfront because the phrasing's a bit off—the 'Java Sea War' as a single conflict isn't really a standalone term. Folks usually refer to the Battle of the Java Sea in February '42, part of the wider Dutch East Indies campaign. So the major warships were the Allied strike force under Doorman. The heavy hitters were the Dutch cruisers 'De Ruyter' (Doorman's flagship) and 'Java', the American heavy cruiser 'Houston', the British cruiser 'Exeter' (famous from the River Plate battle), and the Australian light cruiser 'Perth'. They had a bunch of destroyers too, like the British 'Electra', 'Encounter', and 'Jupiter', plus the Dutch 'Kortenaer' and the American 'Edsall'.
Tragic thing is, almost the whole force was sunk over a couple days. 'De Ruyter' and 'Java' went down from Japanese torpedoes the first night; 'Exeter', damaged earlier, got finished off with destroyers later. 'Houston' and 'Perth' made a dash for it but were caught in Sunda Strait and sank too. It was a brutal, chaotic engagement where Allied coordination and air cover were just nonexistent against the Japanese fleet. Reading about it, the sheer hopelessness of their position really gets to you.