[Help] PSP or DS - but in other way

Every PS1 game runs on the PSP. Some flawlessly. Others with minor issues. There's some ISO repacking trickery, though, and there are different versions of the official Sony POPstation emulator you'll have to jiggle about with to get everything in order.

In order to run the games, you'll need:

- A PS1 ISO
- A utility to repack them into a format the PSP can play
- A PSP custom firmware - I belive QJ.net's forum is where everything goes down still; I haven't really been involved in this scene for a good two or three years now, so I may be wrong
- PSP-1000 (the original model) and PSP-2000 (the "slim and lite" refresh) models are fully homebrew-capable. The PSP-3000 (the most recent major hardware update) is currently devoid of homebrew capabilities (and is thus useless), but there have been a few new developments recently, so keep a lookout.
- A game with a save exploit present - Lumines and GTA: Liberty City Stories both fulfill this requirement
- A downgradable firmware (I'm not sure which they're up to now, you'd do better to trust a well-written guide than my rough outline)

As for plugging your PSP into a TV - yes, there's a component cable accessory for the PSP-2000.

Emulation on the PSP is decent - there exist emulator for the Spectrum, C64, Amiga, NES, SNES, N64, Master System, Megadrive, Neo-Geo, Game Boy, Game Boy Color, Game Boy Advance, and a whole host more. I think there's a port of dosbox, too, but I can't be sure.

(However, keep in mind that N64 emulation is pretty awful and you'll be lucky to get ten frames a minute)

As for your DS questions... The Duke screenshot you saw is either a hoax or something from the upcoming Duke Nukem Trilogy. The DS is mostly useless for emulation.

Jam it back in, in the dark.

Here's a homebrew installation guide.
Here's a PSX2PSP guide.

Oh yeah, I found a compatibility list for PS1 games, too.

There's nowhere I can't reach.