Do download a random "Super Mario 64.EBOOT.PBP" from an unverified forum. Hackers have been known to embed malicious code into fake Eboots that can brick your PSP or steal data. Always:

This is the classic way to play N64 games on the PSP. While is highly optimized, it still faces some performance hurdles.

The PSP port of Super Mario 64 via EBOOT offers a relatively smooth gaming experience, considering the technical limitations of the console. Players can enjoy the classic gameplay, exploring the various worlds, collecting power stars, and rescuing Princess Peach from Bowser. While the graphics have been scaled down to accommodate the PSP's capabilities, the game still retains its iconic charm.

Once you master Super Mario 64 , try these other N64 games on PSP (via DaedalusX64):

Whether you use DaedalusX64 or a custom Eboot, the feeling of wall-jumping up the castle’s exterior on a PSP-3000’s vibrant LCD is pure joy. The homebrew scene kept this dream alive long before Nintendo ever officially brought the game to a portable console.