As already mentioned by others, the layer stackup is only one part out of dozens that are relevant for EMI.
Still it is possible to comment on your stackup proposals and give you some general guideance.
1) Signal to plane spacing
If your signals are routed directly above a continuous GND plane, they are less likely to radiate or pick up interference. The reason for this is that the loop area of the signal and GND return path is minimized. (EMI) current always flows and cross-couples in loops. So you want to have the high-speed layer and GND layer as close as possible (e.g. 50um distance in the vertical layer stackup).
2) GND to PWR spacing
If GND and PWR layers are close together they form a very good high frequency plate capacitor. Note that capacitance of a plate capacitor rises with inverted distance of the plates. So you want to have these layers as close as possible (e.g. 50um distance in the vertical layer stackup).
3) Low inductance vias
The vias should be low inductance, especially for connecting your components supply pins to GND and PWR layers (HF plate capacitor!). Via inductance rises with via length. So you want to have shortest possible connections from your component layer to GND and PWR layer (e.g. 50um distance from component layer to GND and PWR layers).
You might have noticed that it is hard to achieve 1) and 2) and 3) at the same time in a layer stackup, especially with a 4 layer board.
Welcome to trade-off and optimization land :-)
I would go with the following stackup for example for a total PCB thickness of 1mm (18um copper):
L1: High-speed signal & components (~50um) L2: GND (~50um) L3: PWR (~500um) L4: Low-speed signals (~50um) L5: GND (~50um) L6: Low-speed signals