Any website claiming to offer a direct download of God of War for Xbox 360 is lying. Do not risk your computer or console.
Frequently called the "God of War clone" for Xbox; it features very similar combat and cinematic finishers. Asura's Wrath
If you are looking for the same "hack-and-slash" gameplay style, these titles were released for the Xbox 360 and are highly recommended: Dante's Inferno