There were several 17th century rebellions in different British colonies, but they weren't really independence movements. Some were against Roman Catholic or Anglican in New England governors after the more protestant side had won in England. The Navigation Acts were an issue in more than one rebellion. Bacon's Rebellion is Virginia was for attacking the native Americans and getting more land both for the wealthy and for freed indentured servants looking for farms.
The same issues were underlying causes of the American Revolution. Westward expansion was blocked by the Proclamation of 1763. The Navigation Acts were an issue. There were also religious issues of ending the establishment of the Anglican Church in many colonies and the enlarged Roman Catholic Quebec.
From Wikipedia about the Boston revolt of 1689. Successful rebellion against a governor appointed by James II (who had been removed in Britain). The Governor was pushing the Church of England.
"Andros was commissioned governor of New England in 1686. He had earned the enmity of the local populace by enforcing the restrictive
Navigation Acts, denying the validity of existing land titles, restricting town meetings, and appointing unpopular regular officers to lead colonial militia, among other actions. Furthermore, he had infuriated Puritans in Boston by promoting the Church of England, which was rejected by many nonconformist New England colonists. "
There was also a temporarily successful rebellion in New York in 1689 against the Irish Catholic governor appointed by James II. The rebels ruled New York for 2 years until royal authority was restored.
There was a rebellion in North Carolina in 1677 against the Navigation Acts.