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This work presents a multi-stage feature selection framework for efficient and accurate encrypted network traffic classification using flow-level features. Starting from an initial set of 202 features extracted using Tranalyzer2, the proposed pipeline progressively reduces feature redundancy through domain-driven pruning, correlation analysis, wrapper-based selection, and importance-guided elimination. The framework integrates multiple machine learning models and evaluates them consistently using stratified cross-validation to analyze performance, training cost, and inference latency. Experimental results demonstrate that the proposed approach successfully reduces the feature space to a compact subset of seven features while maintaining high classification accuracy. The study highlights that gradient boosting models, particularly LightGBM, achieve the best trade-off between predictive performance and computational efficiency, making the framework suitable for real-world, resource-constrained deployment scenarios.