The National Archive of Indonesia published on her website tables of contents of the so-called Daghregisters (Daily accounts) of the Castle Batavia; HR no. 2495. Unfortunately they are in Dutch. In those tables you can find for instance information about the ships arriving at and departing from Batavia (nowadays Djakarta). I extracted the movements of the ships and vessels owned by the E.I.C. The dates mentioned below in the text are the register dates. See also on this weblog the notes dealing with cargo capacities and individual ships.
Beemster, fluyt, arrived at Batavia coming via Indermaijoe from Cheribon 30 June 1683
Brack, small yacht, departed Batavia towards Cheribon 12 June 1683
Eemland, yacht, departed Batavia towards Bengal 1 June 1683
Griffioen, chialoup, arrived at Batavia coming from the river Craoangh 15 June 1683, departed Batavia towards Cheribon 21 June 1683
Hoop, small yacht, arrived at Batavia coming from Bantam 4 June 1683, arrived at Batavia coming from Bantam 11 June 1683
Liefde, chialoup, arrived at Batavia coming via Palembang from Malacca 13 June 1683
Naeltwijck, yacht, departed Batavia towards Bengal 1 June 1683
Nederhorst, cat, arrived at Batavia coming via Amboina from Banda 16 June 1683
Negombo, yacht, departed Batavia towards Bengal 1 June 1683
Oostenburgh, ship, departed Batavia via Coromandel towards Tuticorijn and the southern territories 1 June 1683
Opmeer, cat, arrived at Batavia coming from Dermaijoe 21 June 1683
Prins Willem Hendrick, ship, chamber Zealand, arrived at Batavia coming via cape of Good Hope from the Netherlands with 275 men and a cargo valued ƒ 159640 for chamber Zealand, ƒ 4840 for chamber Amsterdam and ƒ 2292 for chamber Hoorn 12 June 1683
Purmer, yacht, mentioned as being at the Cape of Good Hope 10 June 1683
Seijst, yacht, departed Batavia towards the Chinese coast 16 June 1683
Sillida, yacht, departed Batavia towards the Chinese coast 16 June 1683
Sint Maartensdijck, yacht, departed Batavia towards Bengal 1 June 1683
Soestdijck, fluyt, arrived at Batavia coming via Bouton from Ternate 15 June 1683, departed Batavia towards Palembang 24 June 1683
Swaenenburgh, fluyt, departed Batavia towards Palembang 24 June 1683
Ternate, ship, departed Batavia towards the West Coast of Sumatra 2 June 1683
Tijger, mentioned as cruising off the river Craoangh, commanded by Jacob Vos 15 June 1683, mentioned as cruising off the river Craoangh, commanded by Jacob Vos 21 June 1683
't Wout, hooker, departed Batavia towards the Chinese coast 16 June 1683
Zijp, small yacht, arrived at Batavia coming from Amboina 8 June 1683
Zuijt Bevelant, ship, arrived at Batavia coming via Japara from Macassar and Bima 8 June 1683