I wouldn't say I'm asking a broad question, nor do I feel overwhelmed. I'm just trying to find a convincing example of why I should be using this like everyone is saying, or a case where OOP has actually been beneficial.
Take your example - I understand exactly what it's doing, but I don't see why the class needs to be there at all. Why not just create direct functions?
function blog_entry_add($title,$body){}
function user_changepass($id,$oldpass,$newpass){}
function user_permissions_view($id){}
function comic_chapter_delete($id){ }
And so on. It's still organized, you know exactly what that function does, and there's no risk of having function name collisions so long as the function names start at their main "class" and then dive down to the specific function.
Edit: I missed the last paragraph of your post, where you addressed exactly what I...