Is there a place in the known universe that there would be no visible light from other stars/galaxies? Is there a place in the universe where, with the naked eye, you wouldn't see any stars, galaxies or light emitting phenomena? From what I understand at some point into the far future in Earth's location, we wouldn't be able to see anything. Is there a place like that could be like that now?

p.s. Not sure what the appropriate tags to put on this question. Feel free to add/change tags as needed.
If you don't want to look at the stars and galaxies, you can do two things: You can travel so far that they're too far away to see, or you can block your vision.

Go far away

On large scales, i.e. above a billion lightyears or so, the Universe is observed to be roughly homogeneous. On smaller scales, however, matter is distributed in the so-called cosmic web, where galaxies lie in filaments and sheet, meeting each other in knots (where the largest clusters are found). In between these overdensities, there are underdensities known as voids. These voids are virtually free of any luminous matter, and since they're up to several million lightyears across, you could place yourself in the middle of such a void and only see darkness.

As an example, consider a void of 100 Mpc (~300 million lightyears) in radius, corresponding to a distance modulus1 of $\mu = 35$. If a Milky Way-like galaxy (absolute magnitude2 $M=-20.5$) were at the border of the void, its apparent magnitude3 would be $m = M+\mu = 14.5$, invisible to the naked eye.

A small telescope, however, would enable you to see galaxies from here.
The limiting magnitude4 of the naked eye is roughly 6–7 (though some claim to be able to see $m=8$ objects), so the Milky Way-like galaxy would be roughly 8 magnitudes too faint to see. The gain in limiting magnitude when using a telescope is roughly $g = 5\log(D_\mathrm{tel}/D_\mathrm{pupil})$, so with your 6 mm pupil, a telescope with a diameter of
$$
D_\mathrm{tel} = D_\mathrm{pupil} 10^{g/5} \\
= 6\,\mathrm{mm}\times10^{8/5} \\
\simeq 200\mathrm{-}250\,\mathrm{mm},
$$
would enable you to see Milky Way-like galaxies from the center of the void.

Note though that no matter how far you are from galaxies, there will always be some radiation around, if nothing else then at least the CMB. Of course, being microwaves, this is not visible to the naked eye.

Block your vision

Apart from going down in your basement and turn off the light, could there be "astronomical" places where you would be unable to see anything? As David Hammen comments, at the surface of a cloud-enshrouded planet or moon, you could face total darkness (at least on the night-side of the planet). But perhaps you could also, as Wayfaring Stranger comments, go inside a dense, interstellar cloud.

Bok globules are small ($R\sim10^4\,\mathrm{AU}$), dense ($n\sim10^{4\mathrm{-}6}\,\mathrm{cm}^{-3}$) nebulae of gas and dust. A sightline from the center of such a cloud would result in the apparent magnitude being extincted (i.e. increased) by up to several tens in visual light. The largest extinction through the center of a Bok globule that I've been able to find — but I'm not expert on this — is "FeSt 1-457" with a visual extinction of $A_V = 41$ (Kandori et al. 2005), so from the center and out is roughly $A_V\simeq20$. That means that the fraction of light from outside sources that make it into the center is
$$
f = 10^{-A_V/2.5} \sim 10^{-8},
$$
which is not a lot. However, Bok globules are found in the vicinity of young stars which tend to be bright. An O star has an absolute magnitude of $M\simeq-4$. Such a star located right outside the cloud (say, at a distance of $d=2\times10^4\,\mathrm{AU}=0.1\,\mathrm{pc}$) would have an apparent magnitude of $m=M+\mu+A_V\simeq6$, and thus be just visible to the naked eye, albeit very faint. And if it were just a little farther away, you wouldn't be able to see it.

I assume that you're human, but if you are in fact a cichlid, you should be able to see infrared light (Meuthen et al. 2012). In the IR, the extinction is much smaller than in the visible, so hiding in a Bok globule won't help you.



1The distance modulus $\mu$ is a logarithmic way of expressing distances: $\mu \equiv 5\log(d/10\mathrm{pc})$.

2The absolute magnitude $M$ is a (logarithmic) measure of the luminosity $L$ of an object: $M=-2.5\log(L)+\mathrm{constant}$. Note the minus sign; the brighter an object is, the smaller $M$ is.

3The apparent magnitude $m$ is a logarithmic measure of how bright an object looks to an observer, and so depends on the distance to the object: $m = M + \mu$. Stars visible to the naked have roughly $m=0$–$6$. Again, the smaller the number, the brighter the object is. An extremely distant galaxy may have $m=30$, while the Sun has $m=-27$. 

4The limiting magnitude is the largest magnitude (i.e. faintest object) visible.