Disks, cards, and frisbees are working under a completely different set of conditions than a spinning ball. We spent weeks on this stuff at school, and I've unsuccesfully spent hours trying to explain the concepts that are used to describe/calculate lift. We covered the basic ideas here before though, and Dale's explanation can help with Tint's question.
The lift created is caused by the spinning, not the surface speed. If you throw a CD, or a right hand frisbee backhand, the
tiny amount of lift due to the Magnus effect would pull the disk to the right. The surface that matter here is the thin edge of the CD, not the flat sides.
A thrown frisbee or playing card curves due to a completely different set of tricks. If you can throw it perfectly flat, a backhand will
tilt to the right for the first part of the throw, causing it to veer that direction, then as it slows down it will flip back over to the left. A well thrown frisbee will fly in an 'S' shaped path. The changes in attitude are due to a combination of the angle of attack changes and gyroscopic precession.
On top of that, any angle you start the throw with adds its effect as well, just like banking an airplane.
In other words - it's magic.
Matthias