You're looking for a full-featured Mario Kart 64 game on the PSP (PlayStation Portable). While there isn't an official Mario Kart 64 game released on the PSP, I can give you some alternatives:
Homebrew Ports: Some developers have created standalone homebrew "EBOOT" files for N64 classics. For example, similar projects like Super Mario 64 have been ported to run natively on PSP, offering better performance than emulation [13]. Essential Gameplay Mechanics Mario Kart 64 Psp
After the race, they traded karts and characters, replaying tracks that felt like secret maps of their pasts. They argued over whether the PSP’s speaker gave the music more warmth or less, whether the tiny screen made every jump more daring. Between rounds, Mario found an old photo tucked into the PSP’s case: a snapshot of the six of them around a TV, faces lit by a CRT’s glow, controllers tangled like vines. The caption—written in Luigi’s clumsy hand—read: “Lasting laps.” You're looking for a full-featured Mario Kart 64
Virtual Console and Re-releases: Nintendo has re-released Mario Kart 64 on the Virtual Console for the Wii, Wii U, and through the Nintendo Switch Online Expansion Pack. These versions allow you to play classic games, including Mario Kart 64, on more modern Nintendo consoles. Essential Gameplay Mechanics After the race, they traded