I have the PS2 versions of both these games. Normally, I wouldnt bother with an HD remake etc, but I have to say I am am sorely tempted with this one.
I dont know how to explain just how good these games are to people. In Ico, the relationship that builds between the two characters is so subtle it has to be seen to be believed. This is made even more impressive when you consider that there isnt much English in the game (its a lot of gibberish mainly). But of course that just adds to the replay value...
Then you get Shadow of the Colossus, you are simply one highly driven individual who is faced with what often appears to be impossible tasks.
If you missed these games when they first came out, make up for it now.