Do you like / Would you like

 Do you like

           This is used for question that are inclined to preference. 

                               Example: What kind of films do you like?

                                               What  do you like eating?

Would you like

            Interrogative questions use this expression to offer or invite something to someone.

                            Example:  Would you like a glass of water?

                                             Would you like to go to the cinema tomorrow?

Ejercicios del tema: http://www.ejerciciodeingles.com/ejercicios-diferencia-would-like-like-rellenar-huecos/