Would like - Some - Any

Would like = offer

Can I have = request

Would you like to go out?

No, I would like to stay home.

What would you like?

I would like some chicken.

Would you like some tea?

Yes, please. No, thanks.

Do we have any chicken?

Yes, we have some.

No, we don’t have any.

Do we have any vegetables?

Yes, we have some.

No, we don’t have any.

Any is common in questions:

Do you have any cookies?

Some is common in questions that are offer or request:

Would you like some chicken?

Can I have some chocolate?

Example:

I am sleepy. Would you like to get some coffee after class?

Sure. Where would you like to go?

I had some before class, but I can go with you and get something else.

*

I am hungry. 
Do you have any chocolate or candies with you?

No, but I have some peanuts. Would you like some?

*

How many snacks do you eat a day?

Actually I don’t eat any.

I don’t eat between meal.

*

I have some cookies in my backpack. 
Would you like some?

No, thanks. I don’t want any right now. But can I have some later?