Would you like … ? I’d like …

Question 1

We use Would you like … ?

Answer 1

To offer things

…A: Would you like some coffee?
…B: No, thank you

Question 2

We use Would you like to … ?

Answer 2

To invite somebody

…Would you like to go for a walk?
…A: Would you like to eat with us on Sunday?
…B: Yes, I’d love to. (= I would love to eat with you)

Question 3

I’d like … is a polite way to say

Answer 3

‘I want’.
I’d like = I would like

…I’m thirsty. I’d like a drink.