First Jedi Order

Jedi-Sith War
Soon after the destruction of the Je'daii, the Sith (species) Empire broke off from the Sith Galactic Empire, and the Jedi blamed the Sith (species) for ending the republic, and attempted to destroy the Sith (species). They were instead put into war against the Sith Galactic Empire.

Sith (Species) Genocide
Happening alongside the Jedi-Sith War, the Jedi went on a crusade to kill the Sith species, eventually bringing their population down to 300.

Sith Civil War
After the Jedi-Sith Truce, an opposition to power in the Sith Galactic Empire, the Sith Galactic Civil War ensued. This ended with the Sith abandoning all light side powers, and becoming fanatic.

Second Jedi-Sith War
The new Sith Empire waged war against the Jedi Order and the Old Confederacy of Independent Systems, and nearly won, but were eventually destroyed by Mandalore the Great's nuclear bombing, as he feared the Sith.