Chromatography is good for separating dissolved substance made of diverse colours, like inks and plant dyes. This works because some dissolve in the liquid, which you can then put a piece of paper in and watch the magic.
Filtration is another good way to separate a insoluble solid from a liquid.
Evaporation is another good way to separate solutions. You evaporate one substance at it’s boiling point and the other will stay a solid or liquid, so you have separated it.
Simple distillation also works. You first evaporate one substance, then cool it back down in another container.
Fractional distillation is good for separating 2 or more liquids from each other. It’s distillation but with a few extra steps, like an extra filter of what’s-nots.