I don't have a particular DE in my mind that offers this feature out of the box, but if one offers that, then it's KDE. Search for it in their application starter menu section, there's one for sure!

Question is: why do you want that?
It's wrong to judge one for their taste, that's sure. To be fair, I even liked the W8 menu when it came out.

The problem with it is, that it creates a "dive in"-effect, similar to when you enter a room and then forget what you wanted in the first place.

I personally would recommend you Vanilla Gnome. It has a similar, simplistic design language and the overview creates the opposite effect. Instead of the "enter a new room", the activity overview disconnects you from your current task and makes task switching easier while not forgetting what you originally wanted.

Are there any other reasons for why you chose the menu?