The following list of terms used to describe types of literature reviews is from Doing a literature review in nursing, health and social care, pages 13-14. Only some of the terms have been chosen.
Standard, traditional, narrative, and descriptive are interchangeable terms. Considered by some to be the least rigorous.
Scoping or rapid reviews do not have a pre-determined protocol. Often used to determine if there is enough literature for a systematic or more rigorous review.
"Integrative reviews provide a much broader summary of the literature than is produced by systematic reviews, and have been described as the broadest category of research reviews, encompassing both empirical and theoretical literature." (Reviewing research evidence for nursing practice: systematic reviews. pg 137)
Sample books in the library, including an online ebook:
Nursing research: generating & assessing evidence.... WY 20.5 P64 2012