Single Set would generally be overcurrent, overload, undervoltage, overvoltage, underfrequency, separate overspeed as a minimum.
Parallel set would extend to reverse power as an absolute minimum. Sync check depends on the system, if there's any possibility of an operator closing out of sync then it gets included. When its integrated into the Set controls, not so much.
Parallel to grid, specifically from the gen point of view doesn't necessarily change much, but interconnect or mains protection is critical, such as ROCOF or Vector Shift to detect when the grid has disappeared and open the grid breaker.
Additional protection such as differential, out of step is often more a matter of cost and importance to protect the machine versus the additional complexity of the protection. I knew of one site out of thirty three islanded generator sites that had differential protection installed, and it was an MV site.
The additional protection required is a general function of both how much the asset is worth (not to mention the safety aspects...) and the increase in required protection the more complex the system becomes.Also consider that the purpose of the protection is not just to protect the machine(s) itself, but also the rest of the installation and wider network from adverse effects of the machine as well.
EDMS Australia