Playstation Anniversary
At the Event Center hold Circle+Triangle and press Square twice.

Machine Hunter Password
At the Vault hold Circle+Triangle and press Square rapidly.

Staff Photo
At the Code Archive hold Circle+Triangle and press Square rapidly

Apollo 440 video
At the main menu, press Triangle, Circle, Triangle, Triangle, Square

Blasto FMV preview
At the main menu press L1+L2+R1+R2

Spawn FMV preview
At the main menu press Triangle, Circle, Triangle, Circle

Crash Bandicoot 2 FMV preview
At the main menu press Circle, Triangle, Square, Circle