US cavalry troops carried sabers throughout the US Civil War of 1861-1865.
During JOseph Wheelter's cavalry raid on Union supply lines after the Battle of Chickamauga one of General Crook's brigades made a saber charge against some of Wheeler's forces. Source Crook's autobiography or official records.
The autobiography of General James Wilson mentions a saber battle between Union and confederate cavalry that I remember because a very young soldiers rode up to Wilson to ask for reinforcement to rescue his colonel.
I have read that General Custer preferred to make saber charges because they demoralized the the rebels who faced them.
US cavalry used sabres during parts of the indian Wars and probably in the Phillipines.
General Custer ordered the seventh cavalry sabers left behind on his march to the Little Big Horn in June 1876, but two of his men took their sabers anyway.
Second and Third cavalry men in General Crook's forces carried sabers at the the Battle of the Rosebud on June 17, 1876 - I believe two of the Sioux carried sabers captured at the Rosebud at the Little Big Horn. Major Chambers in charge of Crook's mule-mounted infantry was so frustrated by their ragged riding that he was seen to throw down his infantry officer's sword in disgust.
Lt. McKinney of the Fourth Cavalry was shot and killed as he led a charge waving a saber at the capture of Dull knife's village in November 1876.
I have read that Tauregs fought French colonial forces it in the 19th and twentieth centuries with swords. For a example a sudden treacherous sword charge wiped out most of the Flatters expedition around 1881.
I have read that during a civil war in the Sudan in the 1970s warriors in chain mail made charges with spears and swords.