Sega Rally and Initial D both had Japan only PS2 ports. Sega Rally is amazing and as arcade perfect as they come, and fully in English. Initial D seems like a lot of fun from what I played but tough going to get started as it is 100% in Japanese. There are guides on the web though to help you through the menus.
If you're emulating Gamecube already you should find PS2 a doddle.
You could of course use MAME for these two but the PS2 ports are optimised for joypad control.