Judaism
Around the 1st century CE, there were several small Jewish sects: the Pharisees, Sadducees, Zealots, Essenes, and Christians. After the destruction of the Second Temple in 70 CE, these sects vanished. Christianity survived, but by breaking with Judaism and becoming a separate religion; the Pharisees survived but in the form of Rabbinic Judaism (today, known simply as "Judaism"). The Sadducees rejected the divine inspiration of the Prophets and the Writings, relying only on the Torah as divinely inspired. Consequently, a number of other core tenets of the Pharisees' belief system (which became the basis for modern Judaism), were also dismissed by the Sadducees. (The Samaritans practiced a similar religion, which is traditionally considered separate from Judaism.)
Haskalah
The spreading of Haskalah affected Judaism as a religion because of how much the different sects desired to be integrated, and in turn, integrate their religious traditions. The effects of the Enlightenment were already present in Jewish religious music and opinion on traditionalism versus modernization. Groups of Reform Jews such as the Society of the Friends of Reform and the Association for the Reform of Judaism were formed because they wanted and actively advocated for a change in Jewish tradition, mainly rituals like circumcision. 
Another non-Orthodox group was the Conservative Jews, who emphasized the importance of traditions but viewed with a historical perspective. The Orthodox Jews were actively against these reformers because they viewed changing Jewish tradition was an insult to God and that fulfillment in life could be found in serving God and keeping his commandments. The effect of Haskalah was that it gave a voice to plurality of views, while the orthodoxy stubbornly preserved the tradition, even to the point of insisting on dividing between sects.