Here's a view of what Chandra is doing now. You can see recently-done and planned observations split by instrument (including grating choice) and by the SIMBAD classification (a rough idea about what is being looked at, but there's much more to a Chandra observation than just the target).
The summary bar at the top shows that most of the time Chandra is doing Science (otherwise it's moving between targets, taking some "me" time, or hiding from the radiation belts).
