Accel World: Kasoku no Chouten [Regular Edition] (Japan Import)
The second video game of Accel World for PSP platforms was released in Japan on January 31, 2013. But this Accel World game PSP has no English subtitles. You can play it and enjoy it. But you will need a background in speaking/reading Japanese. You can use an electronic Japanese dictionary to pick your way through the instructions.
You really should be familiar with being able to use such a dictionary to quickly look up the kanji or you will be in way over your head. By the way this is a really fun game. The characters are neat, the voice-acting excellent. It is closely based on the very under-appreciated anime and light novel series (which you can get in English).