I had multiple implementation for myself, it's not worth it. In general task lists are all about motivation to do something not a "sweep" to find some work. At the beginning new systems hit home, but once novely wears down I found them pointless.

You can check Amazing Marvin, which has plenty of various gadgets available and have REST API client for integration. In business setting software like Linear with its integration is usually the way to go.

AI extraction accuracy needs to be near perfect. One missed deadline and users lose trust.

Prioritization is also deeply personal and hard to generalize. Would pay if it learned my prioritization logic, not generic frameworks.

Suggestion: start with one integration (maybe just Gmail?) and one persona. Validate before going broad.