Some teams start with Scrum, excel with it and then adapt Scrum to go even further. Some of these teams dismiss interations and claim to do Kanban.
Other teams start with Kanban, eliminate columns of their Kanban board, reduce WiP and increase teamwork.
The results are very similar: There is a short backlog of things that create customer value (sometimes called Minimal Marketable Features, MMFs). The team picks the item with the highest priority and splits it into smaller User Storys or Tasks. When an MMF is completed it will be delivered. That’s it. The would result in a 3 column board: ToDo, Doing, Done. This board design is similar to a Scrum taskboard but the “process” is different. Since there are no iterations there is no distinction between a product focused backlog and an iteration focused backlog.
The interesting thing here is that this is mainly what Arlo Belshee named “Naked Planning”. He did that already in 2007 (perhaps even earlier) but only few people recognized it! Nowadays Naked Planning is sometimes reframed to be simplified or small Kanban.
Perhaps both of the above teams should say they are doing Naked Planning (or trying to do) and try to improve even further by having a deeper look at Arlos work (like doing Single Piece Flow for MMFs and limiting the number of MMFs in ToDo zu seven).
As far es I know this video is Arlos first description of Naked Planning (2007): http://www.youtube.com/watch?v=6t4bZtnnQJA