The ability to store computer games on the system's Hard drive.

You wouldn't need a large hard drive because you'd store all your information on a remote computer.

What sort of information is or can be stored on there?

You may not want or need to keep everything that is stored on your computer.

Or just store a cookie of some sort on your system.

Every bit of data was stored somewhere on a computer.

Up to 850 hours of music can be stored on the unit's 40-gigabyte hard drive.

And I had to find a way to store things on the raft.

Usually they are stored on some kind of file system.

All 4 games have a high score record stored on the phone.