Question

Would you like anything to drink? No, thank you.

Or

Would you like something to drink? No, thank you.

Answer 1

The second one is better.

 

Would you like something to drink? No, thank you.

Answer 2

the second one because we use some- in polite questions. we expect a positive answer that is why we suggest it by using some in these types of questions. other examples: can i get some more sugar? would you like someone to help you?

Answer 3

Would you like something to drink? No, thank you.  is formal its better