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Stacking velocity analysis is conventionally performed by manual picking on semblance spectra, a task that is both labour intensive and time consuming. While recent advancements in machine learning have enabled automated approaches, significant challenges remain, especially when dealing with complex data scenarios. We propose a novel approach for automated stacking velocity analysis using convolutional long short-term memory (ConvLSTM) networks, combining the feature extraction capabilities of convolutional neural networks (CNNs) with the sequence modeling strengths of long short-term memory (LSTM) networks. The model is trained on synthetic seismic data with free surface multiples and generated from structurally diverse velocity models and tested on complex datasets, including the Marmousi model. We further demonstrate the advantages offered by transfer learning in refining the performance of the model on unseen and complex test data. In particular, transfer learning requires relatively limited amount of data retraining and less compute time, owing to the simplicity of the network architecture. ConvLSTM networks can constitute efficient and accurate tools for automated stacking velocity analysis in seismic data processing.