Web Based Statistics
I also like this idea!
And if we can't find a plugin that suits our needs, it's not too difficult to create such system (indeed, it doesn't need to be a plugin), especially to see who is online. A friend and I once made a "statistics site" for our server with only PHP .
For the block logger, I think that's something to let the admins/mods decide. But if it makes their job easier I have nothing against it.