I am planning on surprising my wife for our anniversary this July. Any restaurants around Makati or Ortigas where we could privately dine?

I suggest you bring your wife to a rooftop restaurant. Not only it offers good food, the nice skydeck view is also an add on to the romantic feel that you wish. Check out this list for reference: http://ph.phonebooky.com/blog/12-restaurants-in-manila-breathtaking-views/ Happy Anniversary!

This list has quite a few good places: https://www.tripadvisor.com.ph/Restaurants-g298450-zfp3-Makati_Metro_Manila_Luzon.html