That has to be those three, those ones that almost forms a perfect binary pair, and yes, everyone likes to point at them. They are the most familiar and commonly known stars to humans. Their names, Proxima Centauri, which is the dimmest and more closer to earth, then the two most brightest, Alpha Centauri A and B. Correct me if am wrong, but I understand that these three stars are approximately 4.20 and 4.3 light years respectively away, putting them as the closest stars to earth other than the sun.
We should always remember that Alpha Centauri is a dual star system and they all orbit around a barycenter. Due to this, the nearest star to earth or the sun at any given time will largely depend on the position of any one of them in their orbit.
Alpha Centauri is the nearest star to the Earth. This isn't a single star- it's a triple star system- three stars bound together by gravity. This star has two main components Alpha Centauri A and Alpha Centauri B and the third one is red dwarf also known as Proxima Centauri. It is the closest neighbor to the sun amongst the stars.