Works

The Epistles of Cyprian
Ernest Wallis translation. From Ante-Nicene Fathers (American edition), vol. 5. In HTML, with notes, at Christian Classics Ethereal Library. Each letter has its own file.
http://www.ccel.org/ccel/schaff/anf05.iv.iv.html

Testimonies Against the Jews
In three books Cyprian endeavors to show that Jews had lost God's favor, profiles the lineaments of the Christian faith, and sets out a number of religious precepts.
http://www.ccel.org/ccel/schaff/anf05.iv.v.xii.html

To Donatus
On the sordidness of pagan society, and the power of baptism to regenerate.
http://www.churchdocs.org/fathers/cyprian/cyp-dona.txt

Treatises Attributed to Cyprian on Questionable Authority
On the Spectacles; On the Glory of Martyrdom; On the Discipline and Good of Chastity; Exhortation to Repentance. Probably not written by St. Cyprian of Carthage, but if you want to read them, use the "TOC" link at the top of this page.
http://www.ccel.org/ccel/schaff/anf05.iv.vii.html