In the car business there's a saying "there's no replacement for displacement" and while there are lots of technologically advanced turbo-4 engines these days that feel much closer to a bigger engine than their 2-liter displacements, a big engine still feels like a big engine. Similarly you can kind of predict how "big" a speaker sounds by the amount of driver surface area it has and thus the amount of air it is able to move. That being said, as others mentioned, for a given displacement some speakers will do a much better job of sounding big and full than others. I'm not sure I agree that it is about tweeter technology or dispersion pattern as much as it is about how the mid-bass response is tuned. That to me is the part of the spectrum that has the lion's share of the visceral musical material and can give a sense of ease and fullness to the presentation. So the choices the designer has made with regard to driver, crossover, enclosure, bass alignment etc. will factor in heavily. Often there is a tradeoff between damping and fullness that you have to balance carefully.
Some examples of smaller speakers that play big in my experience are the Sonus Faber Electa Amator, Silverline SR17 Supreme and Dynaudio Special Forty. They all have a slightly warmer mid-bass tuning and bass alignment that that isn't overdamped (in the case of the Dynaudio, I'd say quite a bit underdamped) that helps give a fullness and resonance that suggests a larger speaker. The Sonus Faber alone blew me away at RMAF 2018; add on a subwoofer (in that case a SF Gravis) and you have a huge, enveloping sound. I also recommend REL subwoofers as a good avenue to explore with a smaller speaker.