There are quite a few factors that will help make a car feel 'sharper.' This also depends on your definition of the word, but your OP came across pretty clear.
A double adjustable damper where you can control rebound AND compression will make a big difference in the feel of the car, along with well matched set of springs. Your wheels and tires will also make a difference, and one thing people overlook is your alignment. A good alignment can make a car feel very vague, twitchy, or somewhere in between, and can also accommodate a feel of 'sharpness' in the car.
was hinting towards, it really depends on what your budget is, and changing the things that will most affect the car with least amount of dollars....unfortunately, that isn't always easy to do