The nearest one
The Andromeda Galaxy is among the most distant things a human eye can see without any help at all — and most people look straight through it.

Visible without instruments from a dark site, and larger in the sky than the moon.
What you are actually looking at
Photo: Beyza Kaplan / Pexels
Find a dark site, let your eyes fully adjust, and look toward the constellation Andromeda on an autumn evening from the northern hemisphere. There, roughly where no individual star sits, is a soft elongated glow: the Andromeda Galaxy, catalogued as M31. At around 2.5 million light-years, it is the most remote object routinely visible to the naked eye. The light reaching your retina tonight left before anatomically modern humans existed.
The galaxy spans roughly six full-moon widths across the sky — perhaps three degrees of arc for its obvious core, wider still if conditions are truly excellent. That is not a typo and it is not a photographic trick. The reason it does not look dramatic is low surface brightness: all that light is spread over a large area, and the eye struggles with low surface brightness. What you see is only the densely lit central bulge. The disc extends far beyond it, invisible without long-exposure photography.
Through any optical instrument the view changes. Binoculars show the elliptical core cleanly and hint at the disc's extent. A small telescope at low magnification reveals a dusty lane crossing the nucleus — evidence of structure in the plane of the galaxy. M31 is inclined at a fairly shallow angle to our line of sight, not quite edge-on, which is why that lane appears as a subtle darkening rather than the dramatic slash you get from a galaxy seen precisely in profile. Two companion galaxies, M32 and M110, sit nearby in the same field — compact ellipticals that are gravitationally bound to M31 and visible as small, distinct smudges.
The galaxy spans roughly six full-moon widths across the sky — perhaps three degrees of arc for its obvious core, wider still if conditions are truly excellent.
Andromeda and the Milky Way are the dominant members of the Local Group, a loose collection of several dozen galaxies bound together by gravity. The two are not drifting apart: they are on a collision course, closing at roughly 110 kilometres per second. In about four billion years, they will begin to merge. The result will be something resembling a large elliptical galaxy, and the process will take billions of years more to settle. No stars are expected to collide — the distances between them are simply too vast — but the shapes of both galaxies will be utterly transformed.
For now, it hangs above a dark autumn field: a thing older than Earth, farther than any unaided eye can otherwise reach, and faint enough that most people never notice it at all.