In addition to your name seals, your can have any number of leisure seals.  These can be relief (yan) or intaglio (yin) and various shapes and sizes: large and small, square and oval, rectangular and irregular, even gourd-shaped.  I am particularly fond of small thin ovals used as “starting seals”
Leisure seals can include your studio name – the intaglio oval above is “stone and water studio” – quotations from poems, sayings, or your own thoughts or philosophy.

You can also have archaic animals or birds.

More information on Chinese seals generally, and types of seals and their uses.

Seals by famous carvers.