What were the major conflicts between the American colonists and the British from 1763 to 1774?

There were a number of conflicts during this time that led
to the outbreak of the Revolutionary War.  The most important of these
were:

• Where colonists could settle.  The British
  wanted to prevent colonists from spreading out beyond the Appalachians into Indian
  territory.  The colonists wanted to be free to settle where they
  wished.


• Taxes.  The American colonists were unhappy at
  being taxed for a number of reasons.  These included legalistic arguments over what
  sorts of things Parliament could tax as well as more fundamental arguments over the
  colonists' right to be represented.


• Self-government.  The
  colonists had generally been free to act as they wished for much of their history.  It
  was only after 1763 that the British really tried to enforce laws concerning things such
  as smuggling.


• Quartering of troops.  Americans objected
  to the presence of British troops in their cities.  They particularly objected to the
  requirement that individual colonists had to provide quarters for soldiers in their
  homes.

Overall, then, the real issue is that
the Americans wanted to be more autonomous.  They did not want to be taxed or regulated
by the British government.  The more the British tried to control the colonists in this
time period, the more the colonists resisted.