I faced the same problem as you are in — when I had hundreds of EML files with important attachments, and I needed to extract them quickly and safely. After a lot of manual efforts, the easiest and most reliable way I found was the
Softaken EML Attachment Extractor Tool. This is a professional tool specifically for extracting attachments from EML files. I have used it myself, and it works fast and without any data loss. It supports Batch processing, you can add multiple EML files at once, and extract all attachments at once. This tool is completely safe, the data remains unchanged. The user does not need to install Outlook or Thunderbird to use this tool. A free trial version is also available, so you can test first if the tool suits your needs.
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https://www.softaken.com/eml-attachment-extractor