I can easily think of three: mercury, water, and oil or gasoline. I'm not sure there are more that are readily available, though - anything polar will mix with water, anything nonpolar will mix with the oil, and there aren't very many polar liquids less dense than oil, or non-polars more dense than water.
As far as shaking is concerned, what you need is a range of densities. Mercury is *extremely* dense, denser than lead, so it will stay at the bottom. The others will form emulsions when shaken, though.
I'm guessing that there aren't 5 or 6 un-miscible liquids that are safe to handle.In biology and chemistry, we tend to think about water-soluble [hydrophilic] chemicals and oil-soluble [hydrophobic or lipophilic] chemicals. That's only 2 types of liquids - oil and water. Mercury, of course, is a highly toxic liquid; it might not mix with oil or water. Alcohols mix with oil and water. Liquids such as dimethyl sulfoxide and glycerol mix with water.Best wishes,
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