What do you clean your monitors with?

Same here, a microfiber cloth - with a bit of water if it's required. Never alcohol, never any cleaning sprays.

An unusually serious thread. I came in here because I am also curious about the answer and I was surprised not to find a thread-full of "Unicorn pelt and baby tears" answers.
Ask hardware questions to gamers and they all get so damn serious about it! :D

Lul, I just used wet tissue to clean it. However there will be trace of fibre stuck on screen. Then I would use a normal tissue to wipe dry and remove it.

Something amazing called EcoMoist, it's stupidly cheap and clean any sort of screen without leaving a single mark. I use it on my screens, tablet, phone and glasses (even though there is a version for glasses if my memory serves well).

A cheap car window screen cleaner with a soft duster works ok.

You can clean those?

You should be using a screen cleaner (one that your manufacturer recommends/endorses) or water only to be sure no other problems arise after cleaning the monitor.
Many monitors have an extra layer/conditioning on top of the screen that reduces glare, or viewing angles or whatever, and these extras can get discolorations if you use any type of detergent on them - Perhaps more of an issue in professional environments than in home PC's, but it never hurts to be careful.
I've seen monitors that turn rainbow-colored in patterns that look like you spilled your drink on it and then tried to clean that up by vomiting on the screen... from a single use of a general cleaning product, not fun to work with the monitor after that.

I use a cloth that's supposedly made for that purpose, if that doesn't work (those tiny particles that seem to get stuck to the screen) I use a slightly wet tissue (as in a couple of drops of water) and they go away no problem.

Once you try a sandpaper then you don't need anything else. Just a new monitor xD

Watter + Soft papper tissue

I regularly replace my monitor every 5 or 6 years so there's no need to clean it! If it gets dirty I just wait a bit till I get a new one.

I have a monitor cleaning spray and a microfiber cloth. But I am pretty sure it's just glass cleaner that they sold me for double the price. ;)

I've read every answer with intensive curiosity because my monitors need some urgent cleaning. Now I see that cleaning them is not such a simple matter, so I have more reasons to procrastinate with it, yay!

Spit.

Probably shouldn't, but I just use baby wipes.

Well, I always ask my boyfriend to do this, cause I'm afraid, I make something wrong.

But he always use a tissue (no paper towels) and just a tiny drop of water, but only if there are spots on the screen.

So if you have no boyfriend, use the tip above. 😬

Cloth and Cotton swab xD

with karcher :p

A microfiber cloth and a ~50/50 mix water and rubbing alcohol.

Two important tips, regardless of what products you use.
1) Don't leave liquid sitting on the monitor, especially near the edges.
2) Use minimal pressure when wiping. Too much pressure can cause damage.

water and soap ^^

Isopropyl alcohol 99,8% and a microfiber cloth.

Simple paper towel, first somewhat soaked in water (not much, so it won't go anywhere you don't want water), if really dusty and has lots of gunk, than carefully and regularly switching so the dust and stuff won't leave mark or scratch on the screen. After cleaned wipe one more times with a clean wet towel to make it nice and uniform. Than use an unwet towel to get most of the water of from the screen (otherwise it can leave marks as dries.) Do this as often as you need, usually won't need more than once a month.

Karcher pressure washer will help you

Sledgehammer.