Dumb frogposter, the Start with the Greeks meme is to prepare you for a proper appreciation of the Western Canon. As Greek myth, poetry, theatre, and philosophy are the foundation which the canon is built on, it makes sense to start with them. Asian literature and philosophy only lightly grazed the western Canon and not until the mid 19th century or so, and had little impact. In a word, you don't study the Asians because it will not help or inform your future reading.
Tradcathfags may be surprised to hear this too, but the Bible was originally recommended here for a similar reason as the Greeks--for it's LITERARY value and, above that, influence. It had nothing to do with its religious or theological importance.