Is there another brand that makes a headset that will work with an old Chicago Schwinn fork and frame? Seems I get a lot of play with the headset I have now (taken from another Schwinn, not sure if it was from the same model), unless I tighten it down and then I get little left/right movement.

I have an old Fuji Del Rey with a beautiful headset, but I love that bike and was thinking I could get one just like it for the schwinn. Are there others that work?