One example which emulation runs better then the real hardware, is PPSSPP running running the Outrun game using a fixed 333 clock speed,
PPSSPP run the game this way with a smooth 60 FPS, when the original hardware is having hard time a needs to drop frames to run full speed...
Also PPSSPP can run on bigger, higher resolution displays with better quality (OLED),
After playing this way it is very hard to return back and play on the old original psp hardware.
What do you think ?