Since this is the case, you could incorporate a 7808 into your PSU. To get your 5V back, run your 8V output through a 7805.
To get 3.3V, tap the 8V output of the 7808 and input it into your 317. To get your 1.8V tap the o/p of the 7805 to a second LM 317, since tapping it from the 7808 may cause heating problems (i.e the regulator would need to drop about 8-1.8 or 6.2V which I fear may cause excessive heating).
Just curious is this a microprocessor project you're embarking on?