What would you like for breakfast?等于What do you want for breakfast?吗？他们可替换吗？

绝对可以

Both have very similiar meanings.

In this sentence 'like' means:

like (WANT)
verb
1 would/FORMALshould like... used to say that you want or desire something:
I think I'd like the soup for my starter.
[+ to infinitive] I'd like to go to Moscow.
I would like to say a big thankyou to everyone who's helped to make our wedding such a special occasion!

2 used in requests:
I'd like one of the round loaves, please.
[+ to infinitive] I'd like to book a seat for tonight's performance.
[+ object + to infinitive] I'd like you to send this for me first class, please.
[+ past participle] I would like the whole lot finished by the weekend.

want (DESIRE)
verb [T]
1 to desire a particular thing or plan of action. 'Want' is not used in polite requests in British English:
I want some chocolate.
She wants a word with you.
He's e