If you're looking for an extension that works with both Gmail and Outlook, Breezemail is worth a look. It uses AI to categorize your inbox with smart categories and custom filters so you can get to Inbox Zero with a lot less work. It lets you create your own categories beyond the defaults (Newsletters, Purchases, and so on), and it's got a strong security and privacy focus to keep prying eyes out of your data.
Another good choice is Inbox Zero, an open-source email assistant that Google itself endorses. It automates lots of tasks like unsubscribing from newsletters and blocking cold emails, but it also has features like automated replies and a one-click newsletter cleaner. It works with Gmail and Google Workspace accounts, but you can self-host it for better data privacy.
If you prefer an AI-based approach, PulseMail is worth a look. It's designed to prioritize your inbox with smart prioritization and to respond quickly with personalized emails. It also can manage meeting requests and summarize emails, so it could be useful for professionals trying to get a handle on their email and work more efficiently.