Favourite Things

Commonly used 'wh' to ask questions with the word 'favourite' are 'who' and 'what'.
Examples:-
Who is your favourite athlete?
What is your favourite travel destination?
Less commonly used 'wh' are 'where', 'how' and 'when'.
Examples:-
Where is your favourite vacation spot?
How is your favourite noodles cooked?

Other ways of using 'favourite' --
Q: What do you like to eat most?
A: My favourite food is ice-cream.

Q: What is a childhood memory that stands out?
A: My favourite childhood memory is a time I went to zoo with friends.

Q: Which Professor do you like the most?
A: I like Professor Jackie the most.

Q: What is your favourite type of food? Or What is your favourite cuisine?
A: I love Italian food especially pasta.

Q: What is your favourite music?
A: I really enjoy listening to jazz music.

Conversation 1:
Mary: What are you doing tomorrow?
Alice: I am going to stay at home and watch a movie.
Mary: Which movie are you going to watch?
Alice: I bought a DVD of 'Titanic' movie last week. Have you seen it?
Mary: It is one of my favourite movies. You will not be disappointed.

Conversation 2:
John: What's your favourite food?
Bobby: I like Chinese food the most.
John: Have you ever been to Sam's Chinese?
Bobby: No, I haven't. Is it good?
John: It's my favourite Chinese restaurant. I believe you will like it.
Bobby: That sounds great. Let's go.

What color vs Which color

What color do you like? vs Which color do you like?
"What color do you like?" means in general which color do you like amongst all the available colors in the world. In this case, no particular set of colors are offered to choose from.
Whereas, in "which color do you like?" A particular set of colors is given to select from.
For example:-
Among blue, green and yellow, which color do you like?
If you like, then the answer could be any one or two or all the above three mentioned colors in the question;
Examples:-
I like green.
I like yellow and green.
I like green, yellow and blue. Or I like all of them.
If you don't like any of the above then the reply could be "none of them".
Example:-
I like none of them.