Here's my list of restaurant suggestions:
Aristocrat for its famous chicken barbeque.
Casa Roces for its beef tapa or tapsilog.
Livestock for its crispy pata.
Pino Resto + Bar for its "isol" popcorn.
Ristorante delle Mitre for its laing.
And for great tasting Filipino desserts, you may head to:
Nathaniel's for the buko pandan salad.
Razon's for the halo-halo.