The motives for the Jamestown colony were mostly of financial nature. The evidence for this is the charter written by the King in which the London Company got a charter to start a colony in that area for things like trading goods and resources back to Europe. The colony didn't succeed at this because over 80% of the population in it died.
Massachusetts bay colony was formed out of the desire of the settlers to be free from religious persecution. These were the so called pilgrims who started a colony in the new world. They formed what was called as the Plymouth colony which grew later into the Massachusetts bay colony. This can be seen in the writings of William Bradford such as "the Plymouth Plantation"