Many older bridges used a pin and rocker bearing system, which typically requires an 8-10 inch radius on the rocker to keep the contact stresses in an acceptable range. The height was often matched for the fixed bearings to keep the abutments similar.
Also, bridge girders need to have a significant clearance from the ground (earth berm), so tall bearings minimize the amount of concrete needed for the abutment.
The shift from relatively cheap labor and expensive materials 50-60 years ago to today, where that balance is reversed (relatively cheaper materials, and labor cost, especially skilled labor, through the roof), has changed many things in bridge design. For instance, you'll rarely see plate girders with transverse (vertical) stiffeners anymore. The labor to fabricate them, fit them up and weld them in is much higher than the the cost of the steel for a thicker web that doesn't need stiffeners.