Yes, we use Kanban where I work. We've been doing "continuous delivery" and "DevOps" for years.

It's not bad, but I still don't really like scrums.

I work on a non-dogmatic agile team. It works pretty well, but only because we have engaged, technically sophisticated stakeholders. We have a process, but the personal relationships and collaboration are really the meat of it.

I think our process (which is fairly informal) would fall apart if different people tried it.

Yes, I have worked on agile Kanban teams. The experience was more or less the following...

1. What's the next task/bug/story we should be working on?

2. Build & test it.

3. Ship it.

4. Rinse & repeat.

We'd have meetings periodically to define new sets of tasks and figure out priorities, and/or to reflect on things that hadn't gone well. But these weren't necessarily scheduled on a regular basis. We did them as needed.