Would you like…?

We use Would you like…? to offer something or to invite somebody to do something. Would you like…? = ‘Do you want…?’

I’d like

We use I’d like (=I would like) to talk about something that we want or something that we want to do.

Like

We use like + things or people to say that we think these things or people are nice or good.

We use like + -ing verb to say that we enjoy doing something.

We use do in questions.

Like vs would like

Compare the following sentences:

We use like + -ing verb and would like + to + infinitive. Compare: