I have been working on a systematic LR recently and i searched multiple databases to get all relevant studies. However, is there a common criteria or checklist i should adhere to in this kind of studies.
Please see attached the main references to help you writing a systematic review (PRISMA statement). They include a checklist. The article by Liberati et al includes explanations and elaborations for each item in the checklist.
You could have a look at the AMSTAR tool which is used to assess the methodological quality of systematic reviews - it could help you ensure the systematic review you produce is of high quality. http://amstar.ca/
The choice of quality checklist depends on what is required from the type of study design you are going to review. There is not ONE checklist that fits everything. In an RCT you need to consider random allocation, for example, whereas in a population study you are interested how study subjects were allowed into the study. If you have follow-up data you want to know if the non-responders were different from the responders etc etc. Once you have ascertained what sort of methodological criteria you wish to see in a GOOD study, list these criteria. Then look around to see if there is a checklist for your type of design, and learn from that checklist: Do they suggest something you did not think of? Do they have something you do not need? Depending on the answers, add or subtract cheklist items and then test it out on two or three of your articles to see if it works.
A final advice: Using your head is a good idea rather than blindly picking up a checklist and using it because it is something that is already published and you can put a reference into your text...
Charlotte is right, choosing proper checklist for appraisal of selected studies depend on type of articles. PRISMA is a good guideline which help you in preparing the main draft of your systematic review. Cochrane Risk of Bias Assessment Tool is helpful in evaluating quality of clinical trials or STROBE is good for assessing observational studies.
Please be aware that, if you rely solely on the published literature, your results will be affected by reporting bias. Entire studies can be "buried", and through "hypothesizing after the results are known (HARKing)", nonsignificant results can be "spun" and reported as significant results. See, for example, my NEJM paper on antidepressants (http://www.nejm.org/doi/full/10.1056/NEJMsa065779#t=articleMethods). I don't know what your topic is, but if it's drugs, one excellent source of data is Drugs@FDA. Because this is not the most user-friendly source, I published this how-to article: http://www.bmj.com/content/347/bmj.f5992.
We have recently published guidelines for conducting systematic literature reviews. We used the example of SCM, but it can be adapted to other disciplines. You can find our article on my ResearchGate page. Christian F. Durach, Joakim Kembro & Andreas Wieland (2017), A new paradigm for systematic literature reviews in supply chain management, Journal of Supply Chain Management, Vol. 53, Issue 4.