The God of War games actually designed for the PSP (and thus perfectly compatible with PPSSPP on Android) are: God of War: Chains of Olympus : A prequel to the first game. God of War: Ghost of Sparta

If you specifically want to use the PPSSPP emulator, these are the titles designed for it:

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When users search for God of War 2 on Android, they are typically looking for one of two things: either the PSP spin-offs, or a way to play the original PlayStation 2 version of God of War 2 . The actual "Remastered" version requires significantly more processing power than a standard Android phone can currently emulate efficiently. Therefore, the "God of War 2" files found for PPSSPP are usually modified ISO files of the original game, adapted by the community to run on the PSP emulator, rather than an official HD remaster.

To play the actual on Android, you must use a PS2 emulator instead of PPSSPP.

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