For care giving services
Do you offer care giving services to people in need of such services e.g old and sick people? Using a .CARE domain for your service website will further help to attract potential client than any other domain name.
For babies day care schools
Offer day care service for little kids with working parents. Let potential parent check your out via your website registered with a .CARE domain extension. And if they like what they see, it will be much easier to convince them to register with your services when they come to check you in person.
For the customer care page of any business website
Buying the .CARE domain ending for your customer care service page, will make it easy for customers to reach your service page with minimal effort which usually count a lot when it comes to keeping your paying customers.