Felix August Bernhard Draeseke (7 October 1835 – 26 February 1913) was a composer of the "New German School" admiring Liszt and Richard Wagner. He wrote compositions in most forms including eight operas and stage works, four symphonies, and much vocal and chamber music.
Felix Draeseke was born in the Franconian ducal town of Coburg, Germany. He was attracted to music early in life and wrote his first composition at age 8. He encountered no opposition from his family when, in his mid-teens, he declared his intention of becoming a professional musician. A few years at the Leipzig conservatory did not seem to benefit his development, but after one of the early performances of Wagner's Lohengrin he was won to the camp of the New German School centered around Franz Liszt at Weimar, where he stayed from 1856 (arriving just after Joachim Raff's departure) to 1861. In 1862 Draeseke left Germany and made his way to Switzerland, teaching in the Suisse Romande in the area around Lausanne. Upon his return to Germany in 1876, Draeseke chose Dresden as his place of residence. Though he continued having success in composition, it was only in 1884 that he received an official appointment to the Dresden conservatory and, with it, some financial security. In 1894, two years after his promotion to a professorship at the Royal Saxon Conservatory, at the age of 58, he married his former pupil Frida Neuhaus. In 1912 he completed his final orchestral work, the Fourth Symphony. On 26 February 1913 Draeseke suffered a stroke and died; he is buried in the Tolkewitz cemetery in Dresden.
During his career Draeseke divided his efforts almost equally among compositional genres and composed in most of them, including symphonies, concertos, opera, chamber music, and works for solo piano. With his early Piano Sonata in C-sharp minor Sonata quasi Fantasia of 1862–1867 he aroused major interest, winning Liszt's unreserved admiration of it as one of the most important piano sonatas after Beethoven. His operas Herrat (1879, originally Dietrich von Bern) and Gudrun (1884, after the medieval epic of the same name) met with some success, but were subsequently neglected.

Draeseke keenly followed new developments in all facets of music. His chamber music compositions make use of newly developed instruments, among them the violotta, an instrument developed by Alfred Stelzner as an intermediary between viola and cello, which Draeseke used in his A major String Quintet, and also the viola alta, an instrument developed during the 1870s by Hermann Ritter and the prototype of viola expressly endorsed by Richard Wagner for his Bayreuth Orchestra.

A heavily contrapuntal composer, Draeseke reveled in writing choral music, achieving major success with his B minor Requiem of 1877–1880. His most contrapuntal work is called Mysterium "Christus", which is composed of a prologue and three separate oratorios and requires three days for a complete performance, a work which occupied him between the years 1894–1899 but whose conception reaches back to the 1860s. According to some[who?], Draeseke's Symphonia Tragica (Symphony No. 3 in C major, Op. 40) deserves a place alongside the symphonies of Brahms and Bruckner. Other orchestral works by Draeseke include the Serenade in F major (1888), its companion of the same year, the symphonic prelude after Kleist's Penthesilea. Draeseke also composed chamber music.