So basically besides the obvious games where animation and other things are keyed to the frame rate (games where everything goes twice as fast when 60fps), it is not always the best thing to make a game that was not really designed to go faster then it was originally designed for. Shadow of the Colossus is a variable frame rate game and if you have a really really good PC and you adjust the EE cycle rate you can get the game running above what the PS2 ran it at (up to 60 fps from 20ish the PS2 ran it at), however doing this has a drawback that players of the remaster got treated to which is the game gets harder doing certain actions when the frame rate is higher. Basically games not specifically coded to play at 30 fps (or any specific rate) and games where important aspects are not tied to frame rate. What you want mainly works with variable frame rate games.
