In the NHL (hockey), they fight very often. Sometimes, that happens in baseball too. If you would like to see bench-clearing incidents, you can look for these videos at Youtube.com:
"Don Zimmer ALCS 2003 MLB" (a 2-minute MLB video).
"Don Zimmer ALCS 2003 MLB" (a 2-minute MLB video).
(It's an incident between the New York Yankees and the Boston Red Sox in the 2003 playoffs, with 72-year-old [bench coach] Don Zimmer involved. Zimmer was the one who almost died in 1953, after being hit in the head.)
"Robin Ventura Nolan Ryan MLB" (a 6-minute MLB video).
(It's a fight between the Chicago White Sox and the Texas Rangers.)
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This is Giancarlo Stanton, after being hit in the face by an 88-mph (141 km/h) fastball. (He suffered multiple facial fractures and dental damage.)
"Giancarlo Stanton hit in face 2014 MLB" (a 5-minute MLB video, at Youtube).
After this, with a new custom-made protective helmet, Stanton has continued to hit majestic home runs.
(In 2017, he hit 59 homers for the Miami Marlins. Only a few have hit more than 59 home runs in a season.)