We've all heard of the Boston Tea Party and Massacre and whatnot, but I've never heard of any riots. Are they just a modern phenomenon?
The history of riots in America stretch at least as far back as Bacon's Rebellion, about a century before the revolutionary war, and even before. Much of the earliest unrest was rooted in conflict between settlers and Native American tribes (and in the case of Bacon's Rebellion, largely from freed indentured servants unable to wrest land from tribes protected by treaty), and the overarching class conflict between the oligarchs empowered by the crown and basically everyone else. (Webb, Saunders Stephen, "1676: The End of American Independence")
As time progressed, civil unrest became less tethered to the conflict between settlers and Native Americans. Take, for instance, Culpepper's Rebellion, which preceded Cary's rebellion (McIlvenna, Noeleen, "A Very Mutinous People: The Struggle for North Carolina, 1660-1713") This dispute is usually taken as a reaction to the Navigation Acts, which enforced mercantilism on the colonies, but was just as much a refutation of the ineffective governance of the Lords Proprietor and their governors.
The whole century leading up to the revolutionary war is marked by violent insurrection against the crown.
The Boston Revolt, and Leisler's Rebellion in 1689 both pitted colonist "mobs" against the loyalist governors who ruled New England and New York respectively. (Webb, Saunders Stephen, "Lord Churchill's Coup: The Anglo-American Empire and the Glorious Revolution Reconsidered")
These kind of activities continued through the 18th century across the colonies. Most related to oppressive rule in the form of taxes and limitations on rights, and the inability of the Crown to protect subjects against the "savages" who held land the subjects wanted: Knowle's Riots, Paxton Riots, Black Boys Rebellion, Stamp Act Riots, Pine Tree Riots, and of course, as you mentioned the Boston Tea Party and Boson Massacre.
Not to mention sundry slave revolts that occured in this era.
It's important to note the cause is not always as simple as "oppressive outside rule" as the machinations around political, economic and religious contention could get quite complicated. Further, insurrectionary activity, mob violence and rioting was expressed with varying levels of organization and claims to legitimacy.
(Gurr, Ted Robert, ed. "Violence in America: Protest, rebellion, reform")