Would you like some coffee?
Would you like to go to the cinema? (=Do you want to go to the cinema?)
I’d like
I’d like (=I would like) (= I want)
I’d like more information about this product.
I’d like to go to the zoo. (=I want to go to the zoo.)
I’d like to have a lemonade.
Like
like + things or people (= these things or people are nice or good)
I like John. (=I think John is nice.)
We use like + -ing verb to say that we enjoy doing this
I like going to the cinema. (=I enjoy going to the cinema.)
We use do in questions.
Do you like going to the cinema?
like vs would like
https://www.grammarbank.com/like-vs-would-like.html
https://www.tolearnenglish.com/exercises/exercise-english-2/exercise-english-48729.php
https://speakspeak.com/english-grammar-exercises/elementary/vocabulary-like-would-like