Search for the most recent articles that deal with your topic; many of them will summarize the prior literature in the area, saving you valuable time. Remember to attribute even if you paraphrase!
Literature reviews can be overwhelming. You can't find everything. Just find the literature that gets discussed the most or is most relevant to your topic.
The goal of the literature review is to show that you understand the 'bigger picture' and can put your research and recommendations in context of others working in the field.
Writing Literature Reviews-6th Ed by A couple of databases that allow you to limit your searches to literature reviews:
PsycINFO --> Select Literature Review from the Methodology box
GenderWatch --> Select Literature Review from the Document Type box