The best replacement for avl is bst.

The best alternatives to avl are rated as following:
★★★★★  bst
★★★★★  red black tree
★★  ars
★★  binary tree
★★  liv
★★  red-black
★  b tree
★  uce
★  red-black tree
  aml
  red black

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Google Trends

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avl
bst
red black tree