They didn't. They actually had a revolution 100 years before anyone. Charles II was overthrown and a republic proclaimed known as the Commonwealth from 1649-1660 during the English civil war and second English civil war. This government is known as the Protectorate under Lord Protector Oliver Cromwell and his son Richard Cromwell.

The collapse of the Protectorate under the inept Richard Cromwell and the return of the Crown strengthened the Parliament and crown system. The parliament and Crown ruled together.

This is a different system compared to the American colonies that basically from their inception were self governing legislatures and different from the French Crown that governed as an absolute monarchy. France had a parliament-like body of nobles in the Estate system but it wasn't called in centuries. The Nobility forcing Louis XVI to ask them to raise taxes broke the King's illusion of power.

It's also important to remember that France lost every great war it fought in the 18th century save the American revolution and all those wars broke the financial resources of France. Poor management hurt France

In short, the reason why no British revolution happened after the American and French Revolutions was that Britain had a fairly liberal government with professional management