This is most evident in your cabin and in the dining room. Your cabin steward is usually quick to learn your name and help you with special needs. They're often available in between as well to deliver room service. On my last Holland America cruise aboard the Amsterdam, as soon as I saw my cabin I knew the bed and the toilet weren't high enough for me. It took my cabin steward less than 30 minutes to remake my bed with a double mattress and supply a portable raised toilet seat.
Some ships even have butler service for their suites and minisuites.
On Seabourn cruises your butler will serve you champagne and beluga caviar on your veranda before dinner. In the dining room your waiter is equally accommodating. By the second evening of a Grand Princess cruise our waiter and busboy knew our names and that I liked to have a decaf cappuccino with my dessert. It's doubtful that you could have the same experience at most resorts. Next, I like being able to visit several destinations on one trip without the hassle of airports and taxis.