Phase relationships in AC circuits
The way I always remember it is, capacitors store voltage, so causes the voltage to lag, inductors "store" current, so causes the current to lag

While I know the inductor one is a stretch, its worked for me,

The relationship does not change between series and parallel, and does not relate to how much current, only the inductive and capacitance values, this is why power factor correction fits capacitors in parallel with motor phases. 

If you have some complex RLC network, then any series resistance with an inductive or capacitive element would reduce the phase shift, so that still does not involve the amount of current. only the values,