Community tank-
This is the standard type of fish tank multitude of fish in it. Smaller fish that do ok without large schools are your best bet in a 20g tank. It requires some research, but can work out well.
Molly Tank-
Similar to a guppy tank, though mollies prefer a little bit of salt in their water (guppies can survive salt, but are perfectly happy to live and breed in pure freshwater). As with guppies, a smaller tank may not be good for a mixed-gender tank, as the growing population can soon exceed the tank's bioload
Inverts only-
An interesting concept that I'm going to try at some point, it's just what the name says, it's a tank of invertebrates.
betta-
A single betta, perhaps with a trio of dwarf cories and a trio of otos to do housekeeping, and plenty of plants would make a beautiful tank (once all of my fish get shuffled around, Sun Ce is going into a 20g long tank).
Tetras-
Particularly a planted tank filled with neons or cardinals would be really beautiful. I have a dream of owning a 300g tank loaded with a couple hundred neons, just to see if they'll school in that large of a quantity.
A "natural" tank-
Filled with fish and plants from a particular area of the world, this tank attempts to be a slice of nature. Requires a lot of research, but can be very rewarding.