'looks good', 'be looking good' and 'be good-looking'

[Jay G.]

1. He looks good.
2. He is looking good.
3. He is good-looking.

The meanings of these sentences are the same?
What is the deference between 1 and 2?
If 3 is not the same meaning as 1 or 2, then why?

Please, give me your help.
Thank you.

[DavyBCN]

1. He looks good.
2. He is looking good.
3. He is good-looking.
The meanings of these sentences are the same?
What is the deference between 1 and 2?
If 3 is not the same meaning as 1 or 2, then why?
Please, give me your help.
Thank you.

Sentence 3 refers mainly to the facial features of the man, and means that you think he is physically handsome and attractive. The other sentences could be used to mean the same thing but have wider meanings, such as that is looking very healthy, that he is smartly dressed, etc.