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I think about moving from Firefox to other browser that support activities, but there's no one support activities.

Konqueror should have separated history and bookmarks for each activity.

This wish or idea can be put in more general terms:

Each application should (be able to) have separate profiles in activities. Where "a profile" can include configuration, app specific data store, history, log files, ... It probably makes sense to implement this on an "optional base". So the well known profiles for all applications stay, but they will be overridden, if some activity specific profile for the same application exists, or part of it.