For those of you who like your information broken down into simple lists, here are the strengths and weaknesses of the the different PSP models. For a more detailed (non-list-form) description of how to choose the best model, and what these strengths and weaknesses mean for the gamer, see Which PSP? Choose the PSP That's Best for You.
Strengths of the PSP-1000
- can run all homebrew
- replaceable battery
- UMD drive
Weaknesses of the PSP-1000
- larger and heavier
- a little slower
- not a current model (can't get it fixed by Sony)
- screen not as bright (as PSP-3000)
- no internal memory
- no video out
- can't run Skype
Strengths of the PSP-2000
- can run most homebrew
- replaceable battery
- UMD drive
- smaller and lighter than PSP-1000
- video out
- runs Skype
- no scan lines on screen
Weaknesses of the PSP-2000
- not a current model
- screen not as bright (as PSP-3000)
- still fairly large
- no internal memory
Strengths of the PSP-3000
- can run some homebrew
- replaceable battery
- UMD drive
- smaller and lighter than PSP-1000
- video out
- runs Skype
- brighter screen (than PSP-1000 and PSP-2000)
Weaknesses of the PSP-3000
- still fairly large
- no internal memory
- some users report scan lines visible on screen
Strengths of the PSPgo
- internal memory
- small size
Weaknesses of the PSPgo
- can't run homebrew
- non-user-replaceable battery
- no UMD drive
- not compatible with accessories from previous models
- high price