Wolf 359
This is a faint red dwarf star that would be unremarkable except that it is one of our closest neighbors in space. Only Alpha Centauri and Barnard's star are closer. It is one of the least luminous stars known, shining with the luminosity of about 1/63,000 that of the sun. It has only about 8% the mass of the sun and is approximately the size of Jupiter. To find it, use a chart such as that in Burnham's Celestial Handbook, and be patient: it shines at a magnitude of 13.6.