I assume you are referring to non-Asian guys (i.e., white/or western guys, etc) who like Asian girls. So, let me rephrase your question:
Why do so many Asian girls like white/western guys?
Knowing the answer to this question may help you understand the answers to your question.
This subject is extremely complicated, and there is not one single reason or answer to explain it. If you want to know why some western guys like Asian girls, and why some Asian girls like western guys, I'd be happy to discuss this with you in more details by email.