This page is about PlayStation (PSX/PS1) emulation for the PC. There are different emulation options available depending on the experience you are looking for.
This emulator is best used to enhance your PSX experience and it is the most popular PSX emulator. You can download ePSXe here.
ePSXe works best by plugins from other sites. While this means you can optimize emulation performance beyond what the original PSX provides, it can be an arduous process to correctly setup certain games.
This emulator best mimics the original PSX experience and is particularly easy to operate. You can download pSX here. However, this emulator cannot be significantly modified so its emulation cannot be as optimized to one's PC. Because this is a more straightforward emulator, running games is an easy process and pSX is compatible with almost all pSX games.
Xebra is another accuracy-focused emulator, like pSX. Notorious for its confusing UI, but some people swear by its accuracy. Because of its accuracy, it requires a fast system to get fullspeed on some games. If it doesn't work in pSX, try it here. You can download Xebra here, and a very brief starting guide here.
Arbex is a less-accurate version of Xebra, but does not require a BIOS, unlike most other emulators, and is faster than Xebra.
PCSX2 is a heavily work in progress PS2 emulator with 1800+ working games from the PlayStation library, including demos. It can be downloaded from here.