I have a newer PS3, but it still has the memory card utility. You can create virtual memory cards for the PS1 and the PS2 (for some reason... it can't play PS2 games) on the PS3s hard drive. My PSP, once in USB mode, also shows up under same menu, but I can't really test it any further than that on my end- I don't have a PS1 game installed that I can try to copy.
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