There's the Deltaport in Vancouver, BC, Canada (where I live):
49.020464 N,123.159077 W

White boxes to indicate where shipping containers go, white diagonal lines to indicate "no boxes/trucks here", laneways for trucks with short diagonal separation lines. All of those trucks look like shunt trucks, short 2-axle units to transport the containers to/from the ships to be then transfered to rail or highway trucks.

Again areas beside the tracks for temporary storage of shipping containers.

There are several crane units that can travel up and down the entire length of the rail yard to transfer shipping containers.
Everything appears to be asphalt. Asphalt is primarily used on all roads where I live (oil is plentiful here in Canada) so there is a local influence that plays a factor. I think the choice between asphalt and concrete is really a local decision. Concrete typically lasts longer but is more prone to cracking and requires a lot of patching. Asphalt does too but it is easier to repair and resurface when the time requires. You'll notice, however, that the asphalt has an almost concrete colour to it, the darker black colour fades pretty fast under heavy use.

If you go to the port in Google Earth/Maps you will also see the big coal depot on the west end of the terminal. The entire terminal is built out in to the sea for better ship access to the area.
Trying to find a terminal that doesn't primarily handle intermodal shipping containers now is nearly impossible, nearly everything has been converted to this system.
I think the maximum capacity is similar for either asphalt or concrete, it really depends on how thick it is and how good of a road base is underneath it. Asphalt can deform under heavy loads in really hot weather, however.
Truck loading areas tend to be located at the back of warehouses, but I'll see what I can find.