The best replacement for meta analysis is systematic review.

The best alternatives to meta analysis are rated as following:
★★★★★  systematic review
★★★  pooled analysis
★★★  literature review
★★★  meta synthesis
★★  review
★★  case study
★★  rct
★  review article
★  randomized controlled trial
★  integrative review
★  narrative review
  systematic reviews
  best evidence synthesis
  meta analysis
  systemic review
  pooling
  integrative research review
  content analysis
  secondary analysis
  meta evaluation

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Speaking about meta analysis, one probably shouldn't forget about systematic review.

Other search terms related to meta analysis and their ratings are:
★★★★★ systematic review
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meta analysis
systematic review
pooled analysis