How to make logic gate combination using switches and bulbs?
You can't. The representation of the NOT gate you are using is flawed -- there is no way to use its "output" as an input to another gate. (To put a name on it, this representation is not composable.)

If you allow the complement of an input (e.g, "not X") to be represented as a switch, it's possible to represent the function as this circuit:







simulate this circuit &ndash; Schematic created using CircuitLab

If you require each input to exist in a single place, though, it's impossible.