For a cloud-based email security service that archives and searches messages in real time, MXGuardian is a good option. It offers real-time message archiving, advanced threat detection and email continuity with a backup MX server. It uses machine learning and heuristics to block spam, malware and phishing attacks, and it's designed to work with businesses of all sizes.
Another good option is Mimecast, an AI-powered security service that offers a range of email security features, including a cloud archive for e-discovery and compliance that supports real-time message archiving and searching. Mimecast has global threat intelligence and is updated constantly to keep up with new threats, making it a good option for organizations that want to fight back against cyberattacks.
You could also look at Trustifi, which archives messages and offers real-time access through its archiving feature. Trustifi uses machine learning and AI to block a broad range of email-based threats, and it offers more advanced email security features like spam and gray email filtering and email encryption. It's easy to deploy and manage, so it's good for companies of all sizes.