The general Puritan feeling was that, despite Elizabeth's best efforts and the introduction of the new Book of Common Prayer, the Anglican church still remained too popish/ catholic. There were, however, different types of puritan reformers. On one hand, there were the moderate reformers, and on the other, there were the extremist revolutionary reformers, who had hoped for deep, structural changes within the Anglican church. While many of the main Puritan goals were rebutted, the petition did culminate in the Hampton Court Conference, which eventually led James to produce an English version of the bible, now known as the King James Version. Interestingly, none of the original petition has been found to exist.
They also disliked perceived popish terms such as Priest and Absolution, and rejected popish garments the clergy were obliged to wear at service. They wanted better observance of the Sabbath, which was originally supported by James up until The Book of Sports. They wanted to end Pluralism, and claimed that ministers should only be both "able and sufficient men".
The Puritans also requested some changes to ecclesiastical discipline. First, they asked, in a rather ambiguous statement, that punishment only be enforced by Christ's own institution. Second, they claimed excommunication should not be imposed by lay officials. Third, they asked that men should not be excommunicated for "trifles and twelvepenny matters". Finally, they asked for better restraint in the use of ex officio oath.