What hormones are stimulated by other hormones?

Almost every hormone effects another in some way. That is how our body maintains homeostasis. Mostly this is done through negative feedback loops, one hormone does it's function until another system releases a counteracting hormone.
There is no short answer for this, endocrinology is an entire science of these interactions, but likely the most commonly heard (and constantly in action) are the RAA system or Renin Angioensin Aldostrone system. Renin tells your body it needs to hydrate so thirst is stimulated (a whole oher system) and Aldosterone is produced to trade ions of sodium for potassium. Sodium then attracts water fom the cells and extra cellular space to increase vascular volume. Angiotensin tells the arteries to contract to increase blood pressure (also through a cascade of reactions including angiotensin I, II, and III). Angiotensin is also what some blood pressure medications (ACE inhibitors) work on. When there is suffient vascular volume the negative feedback is from the arteries to begin allowing sodium to be excreted. Disease of the system is seen as SIADH (usually head injury damages Angiotensin II receptors in medulla) od Diabetis Insipidus (inability to maintain fluid electrolyte balance through constant diuresis {peeing}).