To get a panoramic view of the Medieval Town of Rhodes with the Aegean Sea in the background, head for the Clock Tower very close to the Palace of the Grand Master. The Clock Tower refreshment bar is located there in a lovely garden where you can relax. Entrance to the tower is €5/person (the price includes a beverage).
Alternatively, drive up to Monte Smith Hill, 10 minutes from the center of town. You will have a view of the modern town of Rhodes at your feet from the top. It is worth noting that the ruins of the ancient citadel are located here.