The first one could mean that you like a person as a friend or you have a crush on that person, depending on the context. However, the second type of like—the LIKE-like—unambiguously implies that you have a crush.
_by: Dictionary.com_
Reading the title makes me think a bit..
Am I a kind of the 1st type - Like Him, or, the 2nd type - Like Like Him (very like him), or, Like Like Him (Like someone (else) Like him).
What about you and the person that you like? Do you really like him, or you like him because he just like someone else?