If you eat a healthy diet, you probably don’t need to take supplements at all. Still, there are solid arguments for taking at least a few supplements; and in special categories such as pregnancy and over-65 years of age, you are well-advised to take specific supplements.[1]
Here is a list of suggestions with attached rationales. Clearly, you need to adjust this list to your circumstances and consult with a medical practitioner, especially if you have a specific condition or are considering megadoses.
Key Supplements

Many nutrition experts confidently recommend the Mediterranean Diet. Its vegetables, fruits, whole grains, nuts, olive oil, limited dairy products, and other natural foods provide a full range of nutrients even while minimizing or eliminating red meat and processed foods considered detrimental to health. But the question of whether one can gain further benefit from adding supplements to protect against hidden deficiencies or optimize health and performance remains open.