Jogjakarta? Yogyakarta? Trip (Jakarta)

Hi,

I've been here in Jakarta since last Feb. For those past 2 months eagerly browsed main spots such as ancol, kota, taman mini, taman safari, monas, a couple of museums, around 20 local restaurants, famous beer pubs/bars & of course 10 major shopping malls...

So, feel like going outside the city this time n decided to visit Jogja (or yogyakarta? I dont know what local people call this city..).

Any tips for where to visit or what to do there? Of course borbudur n prambanan are already on the list. Besides them... also need some advice for the period. 1N2D enough? or at least 2N3D? (Isnt there any internations activity of visiting the city by chance???)

Thanks in advance!

HAN