In order to enjoy Philippine food, you've got to understand what it is and what it isn't. Philippine food isn't very "refined" since it uses simple ingredients prepared very simply. It uses big, bold flavors and it will never be known as healthy cuisine. I agree that for a lot of places, a lot less oil and a lot less salt is in order. It faces an uphill struggle to gain recognition as a leading ethnic cuisine choice.
That being said, there are quite a few places in Metro Manila that offer a glimpse into how good Philippine cuisine can be:
In Makati, head to Abé in Serendra, Café Juanita or Bistro Filipino in Fort Bonifacio, Fely J's, Mesa, or Sentro 1771 in Greenbelt.
In the Manila Bay area, head to the Malate area and look for Bistro Remedios and Cafe Adriatico.
In Quezon City, the new kid is Café Romulo.
If you're willing to go out of the city, head to Bale Dutung in Angeles City (reservations required, minimum party of 12).