This is a short list of ancient Greek mathematicians and their works. This covers a broad timespan from the 6th century BCE to late antiquity.
For a more complete list see this Wikipedia Page.
Extant works: None survive
Lost works:
On the Solstice
On the Equinox
Various astronomical treatises
Extant works: None (wrote nothing, taught orally)
Lost works: None attributed directly to him
Extant works: None survive
Lost works:
Elements (first systematic geometry text)
Extant works: None survive
Lost works: Mathematical treatises on irrationals
Extant works: None survive intact
Lost works:
On Mathematics
On Music
Various mechanical treatises
Famous for developing the method of exhaustion into a rigorous method. The forerunner of the calculus.
Extant works: None survive
Lost works:
Phenomena (astronomy)
Mirror (geometry)
On Speeds (theory of proportion)
Extant works: None survive
Lost works:
On Conic Sections
The Elements is probably the second most published books of all time.
Extant works:
Elements (13 books)
Data
On Divisions of Figures (Arabic version)
Phenomena
Optics
Catoptrics (possibly spurious)
Lost works:
Surface Loci (2 books)
Porisms (3 books)
Conics (4 books)
Book of Fallacies
Elements of Music
Extant works:
On the Sizes and Distances of the Sun and Moon
Lost works:
Various astronomical treatises
Need we say more.
Extant works:
On the Sphere and Cylinder (2 books)
Measurement of a Circle
On Conoids and Spheroids
On Spirals
On the Equilibrium of Planes (2 books)
The Sand Reckoner
Quadrature of the Parabola
On Floating Bodies (2 books)
The Method of Mechanical Theorems (recovered in 1906)
Stomachion (fragmentary)
Lost works:
On Sphere-Making
Principles (mechanical principles)
Various other mechanical works
Extant works: None survive intact
Lost works:
On Means (2 books)
Platonicus
Various geographical and astronomical works
Famous for his extensive thesis on Conics. Probably the last great use of using geometry to do advanced mathematics.
Extant works:
Conics (Books 1-4 in Greek, 5-7 in Arabic)
Lost works:
Cutting-off of a Ratio (2 books)
Cutting-off of an Area (2 books)
On Determinate Section (2 books)
Tangencies (2 books)
Inclinations (2 books)
Plane Loci (2 books)
On the Cochlias (on cylindrical helix)
Quick Delivery (on rapid calculation)
Comparison of the Dodecahedron with the Icosahedron
Extant works:
Commentary on the Phenomena of Eudoxus and Aratus (partial)
Lost works:
On the Displacement of the Solstitial and Equinoctial Points
On the Length of the Year
Commentary on Aratus (3 books)
Trigonometry tables and treatises
Extant works: None survive
Lost works:
On Conchoid Lines
Extant works: None survive
Lost works:
On Burning Mirrors
Extant works:
Introduction to the Phenomena (partial)
Lost works:
Theory of Mathematics (6 books)
Various astronomical works
Famous for many things but notably for passing down to us an old Babylonian algorithm for computing square and cube roots.
Extant works:
Metrica (3 books)
Pneumatica
Automatopoietica
Belopoeica
Geometrica
Stereometrica
Mensurae
Definitiones
Lost works:
Catoptrica
Various mechanical treatises
Extant works:
Sphaerica (3 books, Arabic version)
Lost works:
Elements of Geometry (6 books)
On Chords in a Circle (3 books)
Extant works:
Introduction to Arithmetic (2 books)
Manual of Harmonics
Lost works:
Introduction to Geometry
Larger work on arithmetic
Extant works:
Almagest (13 books)
Geography (8 books)
Tetrabiblos (4 books)
Harmonics (3 books)
Optics (5 books, incomplete)
Planisphaerium
Analemma
Lost works:
On the Criterion
Various smaller astronomical works
The beginnings of symbolic mathematics.
Extant works:
Arithmetica (6 books in Greek, 4 additional in Arabic)
Lost works:
On Polygonal Numbers
Porismata
Additional books of Arithmetica
Extant works:
Mathematical Collection (8 books, Books 1-2 lost)
Lost works:
Commentary on Euclid's Elements
Commentary on Ptolemy's Almagest
Various other commentaries
Theon was responsible to transmitting one of our most famous manuscripts of Euclid.
Extant works:
Commentary on Ptolemy's Almagest
Commentary on Euclid's Elements
Commentary on Ptolemy's Handy Tables
Lost works:
Various other commentaries
Hypatia was the most famous female mathematicians and philosophers who's name has come down to us.
Extant works: None survive
Lost works:
Commentary on Diophantus's Arithmetica
Commentary on Apollonius's Conics
Commentary on Ptolemy's Almagest
The Astronomical Canon
Extant works:
Commentary on the First Book of Euclid's Elements
Lost works:
Various other mathematical commentaries
Extant works:
Commentary on Archimedes' On the Sphere and Cylinder
Commentary on Archimedes' Measurement of a Circle
Commentary on Apollonius's Conics (Books 1-4)
Lost works: Various other commentaries