It would be helpful to know how much current your Power Supply will be required to provide at each of the output voltages before answering your question.
This is an unusual way of designing a Power Supply; I think most designers would choose to start with a transformer which provides the AC voltages which can be rectified and regulated down to the required output voltages. That is simpler, cheaper and should be more reliable in operation.
Its never good starting a PSU design from a single DC voltage when you want both positive and negative supplies !
However, to comment on your proposed circuit I think you must look again at the 1.5v output. You have a voltage divider of 2 very high value resistors (330k) to provide 1.5volts. But as soon as you draw any current from the 1.5v output, the load resistance will be in parallel with one of these resistors and will change the voltage division (and therefore will reduce the output voltage greatly).
We don't know what regulator you are proposing for the 3volt output but it is unlikely that you will need to use two seperate devices for the 3volt supply and another for the 3.3volt supply. A simple diode drop from a 3.3volt supply might be stable enough for a modest 3volt supply.
Please let us know the current requirements and if you could use a mains transformer with at least a centre tap.