The best replacement for random forest is svm.

The best alternatives to random forest are rated as following:
★★★★★  svm
★★★★★  cart
★★★★  gradient boosting
★★★★  deep learning
★★★★  logistic regression
★★★  boosting
★★★  neural network
★★  gbm
★★  bagging
★★  decision tree
★★  adaboost
★  boosted trees
★  support vector machine
★  boosted regression trees
  knn

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