This is subjective and a matter of opinion as there are many famous pieces by Beethoven. Much of his music is recognisable by melody, even though people may not be familiar with the name.
Among Beethoven's piano sonatas, one would consider the Pathétique, Moonlight, Waldstein and Appassionata to be the most famous.
Beethoven's 9 symphonies are all brilliant, but perhaps the better known ones are the "Eroica" (his third symphony), the rich and penetrating Fifth Symphony (Symphony No. 5 in C minor), and the Ninth Symphony (Symphony No. 9 in D minor) which, unlike preceding symphonies, actually made use of choral parts in the well-known "Ode to Joy".
Beethoven also wrote a short, romantic composition, the Bagatelle in A minor, that became known as "Für Elise". It was written in April 1810 for Therese Malfatti, whom Beethoven was considering marrying at that time - a marriage which never eventuated.
Equally famous are his one and only Opera, 'Fidelio' and the 'Archduke Trio', or Piano Trio no.7.
There are far too many exceptional pieces by Beethoven to be able to say which is the "best".
For some, Beethoven's most famous piece of music is the fourth movement of the Ninth Symphony. The reasoning behind this answer is its popularity in the movie industry in addition to its inclusion on scores of hymnals as the tune paired with the text "Joyful, Joyful, We Adore Thee." It is widely regarded as the finest symphonic composition of all time, and Beethoven was completely deaf when he wrote it.
Most people would recognise many of Beethoven's pieces even if they are not aware that it was Beethoven. His most recognisable, and possibly most famous pieces would be - Beethoven's 5th Symphony, especially the introduction to Allegro con brio. Full title is - Symphony No. 5 in C minor, op. 67 Beethoven's 9th Symphony, especially the "Ode to Joy". Full title is - Symphony No. 9 in D minor, op. 125 Für Elise Op. 59, arguably described as piano piece for children.
The 1st movement of Beethoven's Symphony No. 5 is one that nearly the entire civilized world can recognize.
The 1st movement of Beethoven's Moonlight Sonata is also one that most have heard at least one point in their lives.
The 4th movement of Beethoven's Symphony No. 9/Choral Symphony is also very popular. It is more commonly recognized as Ode to Joy, the national anthem of the European Union.
"Important" is a subjective term that is best dealt with by considering which pieces are the most well-known, or famous.
Among Beethoven's piano sonatas, one would consider the Pathétique, Moonlight, Waldstein and Appassionata to be the most famous.
Beethoven's 9 symphonies are all brilliant, but perhaps the better known ones are the "Eroica" (his third symphony), the rich and penetrating Fifth Symphony (Symphony No. 5 in C minor), and the Ninth Symphony (Symphony No. 9 in D minor) which, unlike preceding symphonies, actually made use of choral parts in the well-known "Ode to Joy".
Beethoven also wrote a short, romantic composition, the Bagatelle in A minor, that became known as "Für Elise". It was written in April 1810 for Therese Malfatti, whom Beethoven was considering marrying at that time - a marriage which never eventuated.
Equally famous are his one and only opera, 'Fidelio' and the 'Archduke Trio', or Piano Trio no.7.
Scott Joplin is most associated with ragtime music. One of his most famous pieces is 'Maple Leaf Rag'.
Jean Michelle Jarre Oxygene
Bonn, Germany.
Many composers wrote pieces with "Passacaglia" in the title ... Pachelbel, Buxtehude, Bach to name a few.
His most famous pieces are Rhapsody in Blue and Concerto in F. He is also well known for his folk opera, Porgy & Bess.
France's most famous museum is the Louvre, which houses lots of artworks and cultural pieces. Its most famous is The Mona Lisa.
he was famous for designing stunning pieces of furniture.
jokers
classical period
Scott Joplin is most associated with ragtime music. One of his most famous pieces is 'Maple Leaf Rag'.
there were no pianos when JS was alive
in 1785
Some of Maya Angelou's most famous pieces of writing include "I Know Why the Caged Bird Sings," "And Still I Rise," and "Phenomenal Woman."
Jean Michelle Jarre Oxygene
Fur Elise-Ludwig van Beethoven
Bonn, Germany.
Many composers wrote pieces with "Passacaglia" in the title ... Pachelbel, Buxtehude, Bach to name a few.