Answer:
American Revolution
To win independence from Britain
The British originally ruled the first Colonies in what would be called the United States of America until the American Revolution of 1775 to 1783 when a lot of them rose up against the British in protest of what they termed unfair treatment imposed on them. They sued for independence to be free of the unfair treatment and to govern their own affairs.
To create a Republican Government
Originally, the aim of the Colonies was to get the Monarchy in Britain to give hem more rights but as the Revolution progressed and atrocities were committed, they started demanding to be free of the Monarchy altogether and to establish their own form of Republican government.
Glorious Revolution
To gain a Protestant ruler
King James II was a Catholic king who was revolted against by his people between the years 1688 and 1689 primarily due to his affiliation with the Catholic church. Since the reign of King Henry VIII, Protestant Christianity had taken hold in England and so when King James II started appointing Catholics to high positions this worried them to the point where they usurped his authority and gave the throne in part to his daughter Mary who was a Protestant.
To support a constitutional monarchy
Parliament was a main forced behind the rebellion and they did this with the excuse that more English people wanted a monarchy with some checks on its power in the form of a Constitutional Monarchy.
To protect Parliament's power.
There was a general worry that King James II was trying to curb the powers of Parliament and indeed he gave them cause to worry when in 1687, he dissolved Parliament with the aim of instilling a more subservient Parliament. This was amongst the reasons that prompted the revolution and after ousting the King, Parliament gained unprecedented power under the reign of William of Orange and Mary.