Do you care for anything to drink? / 何か飲みたい?

Do you care for anything to drink? は、「何か飲みたい?」という意味です。

例:

A: Hey, come in!
(やあ、入って!)
B: Thank you.
(ありがとう。)
A: Are you thirsty? Do you care for anything to drink?
(のどが乾いてる? 何か飲みたい?)