PRISMA (Preferred Reporting Items for Systematic Reviews and Meta-Analyses) is an evidence-based minimum set of items for reporting in systematic reviews and meta-analyses. Many journals endorse PRISMA and may require authors to use PRISMA when submitting systematic reviews for publication.
The Cochrane Group are pioneers in creating systematic reviews and are often viewed as producing "gold standard" reviews. Cochrane has specific protocols for researchers working on Cochrane group systematic reviews. If you are new to systematic reviews, you might find it useful to peruse the handbook below to get a better sense of all the components of a well-designed systematic review.
The National Academies of Science, Engineering, and Medicine (formerly the Institutes of Medicine) has a very detailed list of standards for systematic reviews. The standards cover each part of the process from initiating a systematic review through finding studies, synthesizing data, and reporting findings.
PRESS (Peer Review of Electronic Search Strategies) is an evidence based guideline for reviewing systematic review search strategies. We use PRESS to review search strategies for accuracy and errors.