The Super Hornet can indeed fly a route of waypoints and is capable of 'coupling up' to fly an automatic approach to the boat. The various pilot relief modes also include auto throttles both for en route and in the landing pattern.
I forget what the currency restrictions were, but suffice it to say that you weren't allowed to use the automatics to land until you'd mastered (and remained current in) the mandraulic approach...not something I was ever in danger of.