None are very close, and the easiest of them requires a telescope 6 inches in diameter to resolve. Nebulae, plural of nebula which is Latin for haze come in a variety of types. Planetary and emission nebulae are the types best seen with small telescopes. Planetaries are so named because some look like the planets Uranus or Neptune. These are small puffs of gas dying stars let out as they shrink.
Emission nebulae signal the birth of stars and are large.
Galaxies, which were misnamed nebulae before their true nature was discovered are found away from the Milky Way because they are Milky Ways in their own right. Photographs of some of these show a spiral structure, but this is usually lost to the eye at the telescope. There is a wonderful list or catalog of many of the brightest of these DSOs. It was compiled by a comet hunter 200 years ago, who found these objects a nuisance. Today Charles Messier is more famous for his list than the 12 comets he discovered.