I know the B747-8 uses electro-hydraulic actuators as does the 787, but what about the 737 MAX?
The Max will have hydraulic systems very similar to the NG airplanes, except for the spoilers; those will be "fly-by-wire" and electrically controlled, but still hydraulically actuated. (Edited to correct what I had wrong in the original post. The comments are correct.)
No. 737 MAX hydraulic power is the same as 737 NG hydraulic power. There are pumps in the engines and wheel well. More info can be found here. http://www.b737.org.uk/hydraulics.htm
Edit: It appears some took my link to be an answer about the NG. It wasn't. It was about the system being unchanged. The spoilers are still actuated hydraulically, but the control valves providing hydraulic pressure to the actuators are electrically controlled now. The command is now electronic, but they are still moved by the same hydraulic actuators they always were.