Dispay object class name in grid



I would like to be able to show class name in grid column. There is a select option to select object class you want to filter, but it is available only when click on Home in objects view.
I want to show object class names when I click on any folder inside objects tree. Also it would be nice to have filter by object class.

My stricture is: Home -> Products -> Home stuff
I would like to click on Home stuff folder and see “Select object class” field where I can choose the class I need. OR I would like to see Object Class column in the grid.