There are two official God of War games made for the PSP that run perfectly on the PPSSPP emulator. These are often what people are actually looking for when they search for "PSP God of War":
: Widely considered the best and most stable free PS2 emulator for Android. : A popular community-patched version of AetherSX2. Get the BIOS File: PS2 emulators require a PlayStation 2 BIOS file to run. Obtain the Game ISO: You will need the God of War 2 ISO file (rip this from your own legal physical copy). Extract & Play: Use an app like God Of War 2 Ppsspp Only Android Download 200mb
You will need a PS2 BIOS file to "unlock" the emulator. Game ISO: The God of War 2 ISO file. Setup Steps: Install the PS2 emulator APK on your Android device. There are two official God of War games