There may be some, but I cannot say that I have ever seen a brief for a "Captains only" approach? The restriction is usually related to the actual take off and landing that are required to be accomplished by the Captain. Examples being, Innsbruck, Skiathos. Samos, etc. In poor visibility and cloudbase, monitored approaches are often necessary that require the pilot carrying out the approach, to be different from the pilot carrying out the landing. It follows that in restricted weather conditions, where the brief restricts the landing to "Captains only" it will always be the F/O who carries out the approach.
It would also be unusual for a new Captain to be checked into a category "C" airports with these requirements, until such time as they had amassed some experience in the role. However the certification checks for any particular category "C" airport would still need to be complied with in full, irrespective of the fact the new Captain had previously operated into that airport on a regular basis.