This is a grossly over simplified answer: But basically there are two main approaches to pre amp design: Discrete and IC.
A discrete pre amp is made up of discrete components typically transistors, resistors, inductors and capacitors.
The circuit topology generally involves a couple of gain stages and may or may not include EQ. These amps typically use
transformers on the input and output. Discrete pre amps are almost always what is in "Vintage" gear... Neve et al.
This group would also include tube circuits where the tubes function in a similar fashion as the transistors. Discrete
amps tend to sound "warmer" because of inherent distortion in the gain stages.
Integrated Circuit based pre amps are what is found in a vast majority of new gear on the market today. These pre's
are built around IC Op-amps that require far fewer parts making them cheaper to build then a discrete amp. Because IC OP-amps have a
very high input impedance, they typically do not require input transformers again saving money. These amps are "cleaner"
sounding typically. As with anything else, there are a number of different Op-amp's used by different vendors. Depending
on the cost target of the device, they may choose really nice ones or really crappy ones and because the
pinnout of these devices are often identical, in many cases replacing the IC's in a pre amp with a device that has
better performace can improve the sound of the amp.
I have also seen a third catagory that is a hybrid of the two. An input transformer feeding a discrete stage followed by an IC.
Cheers
Kevin.