Can someone please link me to high quality PSP FMVs for FF I-IV? 

I: https://www.youtube.com/watch?v=xSGMZo86-aU

 

II: https://www.youtube.com/watch?v=4LhZi8bLYRM

 

III: https://www.youtube.com/watch?v=3Etyu3LuwHU

 

IV: https://www.youtube.com/watch?v=qMOUJcPfU6w

 

IV After Years: https://www.youtube.com/watch?v=x-0hR105iPk

 

There you go

The one from I also contains the opening of the game itself

I: https://www.youtube.com/watch?v=xSGMZo86-aU

 

II: https://www.youtube.com/watch?v=4LhZi8bLYRM

 

III: https://www.youtube.com/watch?v=3Etyu3LuwHU

 

IV: https://www.youtube.com/watch?v=qMOUJcPfU6w

 

IV After Years: https://www.youtube.com/watch?v=x-0hR105iPk

 

There you go

The one from I also contains the opening of the game itself

 

The first two are clearly from the PSOne....