Would like to do something vs. would want to do something

'would like' expresses a softer, more polite wish while 'would want' shows a more forceful desire.

Try to create some examples yourself.

" Would want" and "would like" (to do something) can have different meanings. They both can be used in conditional sentences where a hypothetical or possible situation and its consequences are discussed:

If I had a cat, I would want to call it Phillipe.
If I were a doctor, I would want to specialise in heart problems.

However, the fixed phrase "would like" has another use, as a polite way of saying that one wants or requests something

(To a receptionist) I would like to see Mr Jones, please.
(A server at a cafeteria): What would you like with your fish? (Customer) I would like rice, please.