Important: the closest alternatives are personal, the rest are team tools
Super Productivity is the nearest match: local-first tasks, recurring work, time tracking, Pomodoro focus sessions, CalDAV sync, and apps for Windows, macOS, Linux, Android, and iOS. Donetick covers shared chores and recurring tasks. Plane, Huly, OpenProject, Leantime, and Worklenz are team project-management platforms, which is more than a personal to-do list needs.
Focus, Pomodoro, and time tracking
Super Productivity and Leantime include Pomodoro timers, and both add time tracking. OpenProject, Worklenz, and Donetick also offer time tracking. Plane and Huly focus on issues and planning rather than focus sessions.
License details
Super Productivity is MIT, OpenProject is GPL-3.0, Plane, Leantime, Worklenz, and Donetick are AGPL-3.0 (Leantime and Worklenz have open cores with commercial editions), and Huly is EPL-2.0. Check each repository's current license before adopting.
Local-first vs self-hosted servers
Super Productivity stores data locally and needs no server, while Plane, Huly, OpenProject, Leantime, Worklenz, and Donetick run as servers you host with Docker or similar setups. A server adds team access and sync but also requires maintenance.