Some suggestions:
Base building games (games where you build a base, gather resources and then start producing your forces): Starcraft, Warcraft III, The command and conquer games, Supreme commander, Total annihilation
Combat resource management games (games where you try to use the limited resources that has been given to you the best you can instead of building bases) : Dawn of war 1 & 2, Company of heroes, World in conflict
Country/Empire management games (games where you control an entire country or empire): Empire: total war, the Europa universalis games, the Hearts of iron games, Victoria: Empire under the sun, Civilization 4, Sins of a solar empire, The Master of Orion games
Combat simulators (games where you control an army or a small group of soldiers in a more or less realistic battlefield): The close combat series, Men of war
Non-combat related strategy games (games that has no or little fighting in them): Tropico 3, The Sim city games