Our understanding of the formation and evolution of the Milky Way is often blurred and biased by the lack of precise and accurate stellar ages. In this contribution I will present the ongoing efforts and recent results of the asterochronometry project (https://asterochronometry.eu/), which aims both at testing and improving our knowledge of stellar physics, and at determining precise and accurate ages of stars (to 10-15%) in the regions of the Galaxy sampled by Kepler, K2, CoRoT, and TESS. Examples of recent and ongoing work will include age-dating stars using data from the TESS mission and inferences on the ages of both Gaia- Enceladus and in-situ stars observed by Kepler. Finally, I will discuss the prospects for extending these studies to larger samples, and briefly present the science case for a future mission dedicated to asteroseismology of crowded fields.