There were no company restrictions on the FOs operating any of the approaches, but the 747 captains very rarely gave away one of the IGS approaches. Conversely, the 767 guys flew there so often that everybody got to do that particular approach on a regular basis.
Restrictions are at the whim of the company/fleet manager, so there can be just about any variation you care to think of. For a while recently, the approach over Essendon onto 34 at Tullamarine was banned for the 747 and 380, even though both had been doing them for years. It's not a good approach to be flying after a long sector, and the ban was a reaction to another airline's incident during one. That has since been rescinded, but most of the time the crews won't accept it anyway. Manila has no restrictions for operation by the 747/330, whilst the 380 can be landed by either captain or FO, but must be taxied by the captain (though it only goes there after ferry flights to Lufthansa Technik).