Mercurial is more like Git than not. It differs in the way it stores revision history (Git stores files, Mercurial stores deltas, basically).

And branching is Mercurial isn't nearly as neatly implemented as it is in Git.

But it would seem to address the issues you listed here. For example, you can rollback a commit if you did the "stupid typo" mistake. And you have a lot of power to "change history" and modify the DAG anyway you wish.