NPS Browser for NoPayStation but you'll need to use a PC.
I don't think there's a homebrew app for PSP that lets you download official PSP games like freeshop.
as ov3rkill already said, there is NoPaystation for: vita, psp, psx, ps3, psm, pc-engine and neogeo games/dlc. but you need a pc to use the "nps browser" and it wasn't ported to psp(yet)
For me if you want to emulate the DS the best option is on Android, use DraStic and a controller that holds your phone... it's clunky but it works insanely well. The next best option in my opinion is using a New 3DS XL, not really emulation but hacked it works really well.
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@K3N1:
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