Indeed, both those films had superior chase scenes in them, because it captured the sense of speed.
Most car chases have a third person view of the car racing through the streets, switch to driver, switch to chase view , switch to (yawn)
These do nothing to get the audience excited, it is as exciting as watching people on a rollercoaster.
Both Ronin and Bourne Identity captured the sense of speed, by having the camera close to the ground to accentuate the 'ground rush' effect, and it being a first person view, it draws the audience in, and makes them feel part of the chase.
This has nothing to do with the technology of the day, but rather clever thinking on part of the director.