This is from memory, so there may be some errors, when New Orleans Union Passenger Terminal opened, it hosted the following:
2 or 3 trains to Kansas City via Baton Rouge LA, Alexandria LA, Shreveport, etc., on the Kansas City Southern / Louisiana and Arkansas - RR is still KCS.
4 to Chicago via Jackson MS, Memphis TN, with 3 having cars to St. Louis on the Illinois Central - RR is now part of Canadian National. One of these trains is the Panama Limited, at that time all sleepers. Another the "daytime" City of New Orleans, both of these 16.5 hours to Chicago.
2 or 3 trains on the Southern, now part of NS, with 2 carrying through cars to New York. The Southerner via B'han and Atlanta. The Pelican via B'ham, East Tennessee, Roanoke. The third, if operating was a local to B,ham.
5 or 6 trains on the Louisville and Nashville, one a commuter local to Pass Christian MS, 2 to Mobile, Montgomery, Atlanta, and on northeast on the Southern Rwy, one the Crescent, the other the Piedmont Limited. The Piedmont Ltd also carried the cars of the Gulf Wind (to Jacksonville) as far as Flomaton AL. The others ran north from to B'ham, Nashville, Louisville, and Cincinatti. One, the Humming Bird also ran through to Chicago.
3 west on the Southern Pacific, now part of UP. 2 to Los Angeles, one of them the Sunset Limited via Beaumont TX, Houston, San Antonio, El Paso, Phoenix AZ, the other as far as either Houston or San Antonio
2 west on the Missouri Pacific's Gulf Coast Lines to Baton Rouge, Beaumont, Houston, one carrying through cars to LA on the ATSF out of Houston. This line is now part of UP.
2 trains west on the Texas and Pacific to Alexandria LA, Shreveport LA, Dallas TX, and Ft. Worth. There were through cars or connections to El Paso out of Ft. Worth. The T&P is now part of UP.
By the time Amtrak came into being, the only trains left were:
2 on the ICRR,
1, the Southerner on the Southern that ran three days a week.
1 on the L&N which had cars to both Jacksonville and Cincinatti, as the combined Gulf Wind and Pan American
1, the Sunset Limited on the SP that ran three days a week.
Bill Haithcoat, any corrections would be appreciated. did I miss anything on the end of pre-Amtrak service?