There is also a list of Captains in most organisations that benefit from an experienced Co-pilot (actually require is probably better than "benefit"!!) in order to operate safely.
Sorry, but no self respecting airline would have such a list. New captains with less than, say, 100 hours in command or a given number of sectors, may well be marked on the roster not to fly with new, inexperienced First Officers until the captain has passed the required number of hours in command or sectors in command.
If a captain repeatedly demonstrates that he cannot operate safely without an experienced First Officer then the employer is failing in it's responsibility if it doesn't require the captain to retire and is in danger of falling foul of both the regulatory authority and the insurance underwriters.