I’m not sure what you’d call our way of managing work, but this is what we do: We spend two minutes every week moving cards on our Trello board to show what we’ll be working on that week, and then we trust each other to get on with prioritising our own workload and working on with the things that have the most impact.
The Digital Team use Scrum. The Product Owner raises tickets in Jira, writes user stories, and prioritises the work they want done. The Dev team estimate the work, add it to the backlog and decide which sprint to fit it in. Once the dev work is complete the Test team test it and if the work passes it is deployed to the live environment. The Delivery Lead manages it all.
I don’t know what you call whatever it is that we do, but I like it.