The best replacement for avl tree is red black tree.

The best alternatives to avl tree are rated as following:
★★★★★  red black tree
★★★  binary search tree
★★  bst
★★  binary tree
★★  rb tree
★★  splay tree
★  red-black tree
★  b-tree
★  hash table
  b tree

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avl tree
red black tree
binary search tree