As we know the most common reasons that digital electronics devices fail seem to be a bad electrolytic capacitors. All aluminum electrolytic capacitors have a limited life span. And this occurs because heating of the electrolyte in the element, capacitors are not hermetically sealed, and the electrolyte in these capacitor eventually evaporates causing increased ESR which causes increased heating, and so on.
As you mentioned before you have already replaced the 3.3V capacitor and in this case need to replace the capacitor in the primary circuit also, next to the control circuit. I don’t have a schematics for this circuit, but I assume in the case of 5V&12V there are in between the transformer to outputs some additional circuits/transistors, that’s why no important variations seen as for the 3.3V output.
In general, you can either increase the voltage rating or the capacitance of the capacitor in a power supply application if you don’t find the exact values for. It is very important that you install the capacitors with the correct polarity.