Sponge filter - uses a sponge with a vertical tube down the middle with an airstone. The bubbles rise up the tube and pull water through the sponge with it. They're good for small tanks, fry, and fish that do not do well with much flow. The sponge acts as a biological and mechanical filter. Inexpensive filters (~$10 + $10 airpump).
I don't think I understand this.... okay so does the filter require power (like needs to be plugged in)? Or is there just an airpump going through the middle? Kind of confusing...
The airpump requires power,
Only the airpump? So if I understand it sorta works like a vacuum in a way... pulling stuff through because the air comes through?
I don't really have a clear picture of it in my head but it sounds cool...
LOL, enjoying this

... because when I was growing up, virtually the only affordable filters were *all* run by airpumps producing bubbles through them. Now "powered" filters have become so common that its become difficult to describe the simple airpump filters to people... (sorry, you can perhaps picture how this would have to bring a smile to the old guys...)
Let's see I'll give a crack at it (since I'm known for being long-winded

) and I'll probably fail anyway, lol... So you understand airpumps, right? The common ones are little buzzy vibrating boxes that plug into wall power and push air through a little thin usually clear tube and are commonly used nowadays for airstones and bubble wands and such, right? OK, so you have to get in your head that this little push of air actually has a little power to push things, not much, but a little.
If you take the thin airtube and run it down low in the fish tank, you can do stuff with it depending on what sort of plastic thing you connect it to. Let's say you connect it to the bottom of a very simple clear plastic stiff tube, just a little wider than the airhose itself. Lets say we hold that tube in a vertical position. The air will come out of the flexible air tube at the bottom of the stiff tube and it won't fill the stiff tube with air, instead the air will form bubbles. Let's say the bubbles are forming very slowly so we can see what's going on. A single bubble forms at the bottom of the stiff clear plastic tube and we can see it. It rises to the top of the stiff tube. As it rises, guess what its doing? Its *lifting* the water on top of it in the tube! Its doing a little bit of work! OK, so now picture several of these bubbles rising, each one filling the width of the stiff tube. Between each air bubble there will be a bit of water, about the same size as the big air bubble lets say. Each of those bits of water is pushed up and out of the top of the stiff tube and back into the aquarium. Got that part? (And the water its lifting has got to come from somewhere, so its creating some suction, its pulling some water from its surroundings.)
Next, lets picture that we drill some small holes in the sides of the stiff clear plastic tube, just here and there, a few of them and they are fairly small but not tiny. Our tube is still held vertical. So now when the bubble goes up (it will still be easiest for it to go up, it won't go out the side holes) it will be able to easily get more water to push up from these side holes, make sense? Good! Now, lets picture that we surround our tube (is it a holy tube now?

) with a plastic box that's filled with that white pillow-stuffing stuff we call polyfloss, do you know that stuff? Let's say its a solid box but up at the top we put a few small holes. Well now you can picture the water coming into the box, having to pass through the polyfloss and then into the holes on our central tube and then "whoop" it gets carried up and out again by a bubble

and if that water had any little debris particals in it, they might have been trapped by that polyfloss...
Oh my gosh, I'd better quick put a picture in, ok here...
Simple bubble box filter!
(otherwise those webwise fellows on here will have a utube video and beat me to it, lol)
Note that in that picture our central tube doesn't have holes (hasn't been going to church I guess

) but that's just a variation where its just pulling water from the bottom, near where the air hose is adding air.
Lets also mention that instead of a box with polyfloss, you could just poke a hole through the middle of a large square of sponge and push our "holy tube" down the middle... then the sponge and air-driven-holy-tube would together form their own simple filtration system. Thats what loachman is talking about.
oooh, getting fancy.. yet another picture...
Simple homemade sponge filter!
(if anybody actually reads this, let me know so I can be amazed and have a laugh)
~~waterdrop~~