Sometimes going too big is a little excessive, unless you really dont care how it sounds, and just want it LOUD. For daily driving you want to have a box that fits the response your looking for, and then gets as loud as possible hopefully keeping the sq your willing to trade off for the loudness. Huge boxes with tons of port area are very SPL oriented and generally are more one note or small bandwith monsters. Having my R's in 4ft each is definatley louder @ 30-40hz than when i had them in 2.2 before, but the transitent response with double bass is slaughtered and the 50hz+ is gone. Now they really only shine on low solid bass lines, but still have a clean hit to them as long as its not extremely fast double bass.
In one sentence, Bigger boxes are generally more efficient but handle less power.
A smaller box with more power on it will sound clearer, but may not hit as low as you want the bigger more efficient box to hit.
Its different for each sub/vehicle and really just depends what you like, maybe letting us know what you have for avehicle , what you have for power, subs, and music prefrence would help us send you on the right path, unless you were just wondering what a big box does.