Liquids that contain ions conduct electricity. Distilled water, paraffin and cooking oil are a few that won't conduct electricity because they lack ions.
The liquids which contain ions in it can conduct electricity. Oil and alcohol don not form ions so they can not conduct electricity. Tap water may conduct or not it depends on the hardness of the water.
A liquid is a nearly incompressible fluid that conforms to the shape of its container but retains a (nearly) constant volume independent of pressure.
In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress.
As ancient Hippy said "Liquids that contain ions conduct electricity."
Sulfuric acid in a car battery is a liquid that contains irons "naturally."
Some liquids which do not have ions naturally present can have ions added to them to make the resulting solution capable of supporting conductivity.
An example would be the addition of table salt to water. (Vaporizers work on that principle.)
Liquids that possess ions conduct electricity. Some of them are
Distilled water is a poor conductor because it has poor ions but by adding ionic solids like table salt it increases conductivity.
Tap water is a very good conductor because it has plenty of ions.
Sulfuric or hydrochloric acid when dissolves in water is a good conductor.
Rain water, sea water are good conductors of electricity.