Give an example of asymmetrical animals?

Butterflies.

Many animals are more or less symmetrical, with exceptions like crabs and lobsters which have one much larger claw, and some animals like flatfish which have evolved from a symmetrical ancestor in such a way as to favour one side only.

Among humans, asymmetrical bodies or features are perceived as uglier, or as deformed, so there may be strong selection pressures to choose a more symmetrical mate.

Animals which are super-symmetrical include peacocks, butterflies and patterned mammals such as tigers, leopards and ocelots. The last three are particularly symmetrical in their facial markings, which suggests that it gives a selection advantage.