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There is no such thing as a "Five Star General series".
There is the Five Star series: Panzer, Allied, Fantasy, Pacific and Star General (in that order).
Then there's Panzer General successor games: Panzer General II, Panzer General 3D Assault, Panzer General III: Scorched Earth, Panzer General: Allied Assault, Panzer General: Russian Assault (in some order)
Other games that can be mentioned in the template (since it is not tied to any one game, publisher or line) are Panzer Corps and Panzer Corps II.