You can also say "to show off" - but it has a different meaning, similar to bragging, or "to toot your own horn"... The meaning is usually negative, but there are a few exceptions.

Examples - negative:

Anna always overdresses for the occasion. She is such a show-off!
Look at John jumping from the highest diving board again. What a show-off!

Examples - Not negative:

Peter bought a new lawnmower and he wants to show it off.
Julie bought a new dress to go with her shoes so that she could show them off.