Berishvili collected eight three-pointers off as many attempts and sank 16 two-pointers from 17 shots. He converted his both free throws as well.
Kyle Kuzma scored 23 points, and Danny Green and Kentavious Caldwell-Pope chipped in 20 points apiece for Los Angeles.
Seven players touched double figures for the Raptors, who have won seven straight games over the Wizards.
New Orleans Pelicans snapped Utah Jazz's 10-game winning streak with a 138-132 overtime victory.
Mohammed Harat, who had a game-high 34 points, and forward Miroslav Todic combined for 66 points to help Arabi register their eighth victory.
He did it all in just over 21 minutes on the court as the Bucks, who never trailed and led by as many as 35, turned things over to their reserves in the fourth quarter.
James added eight assists and passed Isiah Thomas for eighth place on the league's all-time list. He now has 9,067 career assists.
The Jazz tightened up their defense in the second half to knock the Wizards off their game, then pulled it out in the final quarter.
Milwaukee, who are on pace to win 70 games, won for the eighth time in the last nine games to improve to 35-6 on the season.
The flu-weakened James was a questionable start against Dallas, but the Lakers couldn't afford to be without him as they were already missing their leading scorer Anthony Davis because of an injury.
Paul also dazzled with five assists and four steals and Shai Gilgeous-Alexander tallied 20 points for the Thunder, who won for the seventh time in eight games.
Los Angeles Lakers star James was more than 53,000 votes behind Dallas star Doncic for the top spot in last week's first early voting results announcement by the league.
Serge Ibaka sank a pair of free throws with five seconds left in overtime to lift Toronto Raptors to a 112-110 victory against Charlotte Hornets.
LeBron James led the scoring for the Lakers with a 31-point haul that included six three-pointers as well as five rebounds and five assists.
Luka Doncic delivered his league-leading 11th triple-double of the season to lead Mavericks to a 118-110 victory over Chicago Bulls.