What were the important battles in the War for Texas Independence? Why was each important?

The Battle at the Alamo and the Battle of San Jacinto.

The battle of the Alamo was important because approximately 150-250 volunteers held ground at the Alamo long enough for Sam Houston to regroup and come up with a plan of action to cut off and defeat Santa Anna's army at the battle of San Jacinto.

The battle of San Jacinto is widely known across the world as well because Sam Houston lead the pursuing Mexican army into his choice of battlefield and waited till early in the morning under cover of darkness and using the element of surprise to storm Santa Anna and his men and defeat them in the quickest decisive battle in history.