Here's a handy repository of quality assessment and risk of bias tools for systematic reviews osf.io/ws824/

Quality Assessment and Risk of Bias Tool Repository

A resource for finding and selecting a risk of bias or quality assessment tool for evidence synthesis projects. This project was created and is maintained by Duke University's Medical Center Library &...

I never quite found a suitable "checklist" because it seemed that with most checklist, if the issue is more fundamental with the idea of the study, they can still score the study with low risk of bias because they list all their covariates or whatever.