thylacine1975 is absolutely correct about the mains safety!
If you take power off between the live mains and the safety Earth conductor, it needs to be a current smaller than commonly is allowed for input filters in computer-type switchmode power supplies.
What you have in the diagram qualifies as a mains "leak". If you try to take off too many mA, you get to the point where the RCCD (Residual Current Circuit Breaker) will trip out and cut the power to that circuit in the building. Normally set at about 30mA to reduce nuisance tripping. Know also that you can die from 12mA through your body, and the circuit breaker will not trip! The neutral should be connected to the ground at the input to the building, ie. on the other side of the breaker.
Much better to use 2 capactors, one to live and one to neutral. They must not be electrolytic. 220V AC is 311V peak, so they should be rated to 400V minimum.
You should include a upstream fuse in the live. Using 2 capacitors means you need to double the value for the same current (because they are effectively in series).
The current you can get from this circuit.. ?
Firstly , you need to know if the cause of the drop-out is the collapse of voltage at the junction of the 0.47uF mains capacitor and R11 .. or if it is because of a collapse of voltage across the zener diode after R11. If it is at the capacitor, then you need to increase the capacitor value, say by putting another in parallel. If it is at the zener, you need to lower the value of R11.
Essentially, if you are not taking current from the circuit, then it is all going into the zener diode, heating it up a bit. As you do take current, less gets dissipated in the zener. If you take it all, the voltage at the zener will collapse, starving the regulator. How much is available is decided by the difference between about 311V and the zener voltage. The current available is about (311-Vzener)*1000/R11 in mA. You set R11 to give you what you need.
CHECK that the ripple current rating for the capacitors is enough!
This type of circuit is only suitable for tiny miniscule power. If you need more, then use a small power adaptor. My place is full of them Every modem, phone charger, flashlight charger, etc. A 9V DC "wall wart" is easy to come by, cheap, safe, and way easier than messing with capacitor driven stuff directly connected to 220V AC. Come to think of it, that is a much lower cost way than knocking ourselves out trying to design a different one.