For those who do not know, the Monument that we see now is not the original bronze cast erected in 1926 - that one was destroyed by the Germans on May 31, 1940, as depicted on the photograph below.
Photo by an unknown author reproduced from Leszek Wysznacki, Warszawa od wyzwolenia do naszych dni, Wydawnictwo Sport i Turystyka, Warszawa 1977, p. 180, uploaded to Wikipedia by Boston9.
The rebuilt statue was dedicated in 1958, with an inscription on the side of the pedestal documenting this aspect of its history. Noon Chopin recitals are performed at the base of the statue every Sunday (in good weather) since 1959. You can listen to a brief fragment of Fantaisie - Impromptu from 2007 (amateur video), or to a longer 10-minute fragment of a recital by Piotr Latoszyński from 14 September 2014
There are many other "faces" of Chopin in Warsaw, stylized from his hand-drawn or painted portraits, that appear on a variety of memorial tablets in Warsaw, the city of his youth and studies. Some have been there for decades, others were created and placed on the occasion of his bicentennial in 2010.
A plaque from 2010 commemorates the 8-year-old child prodigy in his first public performance that took place in today's Presidential Palace, Warsaw, The concert was organized by the Warsaw Philanthropic Society (Towarzystwo Dobroczynnosci) and took place on 24 February 1818.
An altogether different image - youthful, happy Chopin with a pompadour - appears on the bas-relief adorning the plaque in the Holy Cross Church, on the pillar where the urn with Chopin's heart is preserved. Smuggled into Poland after his death by sister Ludwika Jedrzejewicz, Chopin's heart was permanently entombed inside that pillar in 1882, with a tablet by Leonard Marconi. The inscription from Matthew VI:21 ("For where your treasure is, there will your heart be also") explains Chopin's deathbed wish that his sister was instrumental in realizing - by taking his heart back home, to Poland. The pillar, along with the whole church, was completely destroyed by Germans after the Warsaw Uprising, but they removed the heart for safekeeping before doing so. Now it is safely enshrined in the church pillar again.