The phrase "burst out" is commonly used to describe sudden outbursts of emotion or behavior. However, there are several other phrases that can be used as synonyms in different contexts. "Erupt" is a good alternative when referring to sudden, explosive violence or anger. "Spew" is often used to describe the release of fluids or substances, such as lava or vomit. "Gush" is a softer term used to describe emotional outpourings of happiness or excitement. "Blast" is another synonym that implies sudden, forceful action or release. "Explode" can be used more generally to describe sudden or violent movement or behavior.