Major Louisiana courts that kept records of genealogical value were as follows:

1679-1769	Conseil Superieur, or the French Superior Council, had jurisdiction over land and court matters. The Family History Library has copies of Conseil Superieur records. The originals are at the Louisiana Historical Center.
1769-1803	Spanish cabildo was the Spanish government for the province of Louisiana from 1769 to 1803 and presided over court and land matters. The Family History Library has Cabildo records on microfilm. The originals are at the Louisiana Historical Center.
1800s-present	District courts are districtwide courts with jurisdiction over probate, divorce, equity, criminal, and civil cases. The Family History Library has some district court records. For example, from Orleans Parish the library has minutes (1838-80), judicial records (1880-1921), and successions (1846-80).
1800s-present	Parish courts have parishwide jurisdiction over criminal and minor civil cases. Most parish courts were abolished in 1846. The Family History Library has some parish court records, including Orleans Parish minutes, 1808-46.
1800s-present	The Supreme court is a statewide court located in New Orleans, which has records of appeals from inferior courts. It was originally created in 1804 as the Superior Court. Supreme Court records are at the Division of Archives, Records Management, and History.