The aeolipile demonstrates a few other technologies. The steam coming out of the arms is pressurized like a rocket. The pressurized steam could lead to something like Aristarchus's flying bird which is basically a steam rocket. It also sets further developments like the steam cannon of Archimedes.
The Antikythera device is a way to measure the heavens. It is a precursor to the Orrery and would lead to the globe, the planetary orrery, clockwork mechanisms on a larger scale, big clock towers, or something like Su Song's hydromechanical clock tower. Once you have water power, it could change the direction and complexity of water power to make earlier versions of stone cutting and wood cutting mills with clockwork machinery. It could also improve navigation with better models of the heavens.
It is also a geared device. There are a number of devices that could come out of it earlier like the Odometer created by Vitruvius.