With Cebu Pacific, it's OK. You just have to know the name of at least one of the passengers or the credit card number used, and the confirmation number and presto, you just go the "manage booking" section of Cebu Pacific website and you can reprint your tickets from there.
The problem occurs when you are booked with either Philippine Airlines, Zest Air, or Airphil Express. They don't have that type of service. You have to go to their ticketing office just to secure a copy of your purchased ticket.
Manage Booking Service of Airphil Express
But things have changed for Airphil Express! Today, Airphil Express proudly introduces their latest service: Mange Booking. This is a web-based service similar to that of Cebu Pacific's where you can obtain your lost or misplaced ticket.
Just like Cebu Pacific service, aside from reprinting your ticket, you can also make adjustments to your flight schedule or route.
The manage booking link is found at the Home Page of Airphil Express website.
For more information and other frequently asked question about this latest service, see Airphil's Manage Booking FAQ page: http://www.airphilexpress.com/my-booking/