The thousand blank white cards version is pretty obvious from my description, although I should add that you can do this for question cards, and you can specify that players have to play more than one card.
As for the advanced judging concept, it is exactly the same as the original, right up until the judge makes a decision:
1. Judge plays the question card. They can do this however they like
2. players pick and play a card in secret from their hand, placing it face-down
3. Judge shuffles the pile a little, to make sure they don't know who played what
4. Judge views the cards
Original Apples to apples rules strict reading:
5. Judge reveals all the cards played
6. Judge announces that one is the winner
7. player who played it gets the question card as a point
Theatrical version:
The judge, in any order they like, describes why some cards are discarded, and others stay in the running:
A: ' "My first car" and "football" are weak compared to "cheese" and "the French revolution" '
B: 'I hated "My First car", so it's not that one!'
C: 'Hah, you canny bastard who played this, I can never resist "cheese" ' [1]
C: ' ewwwwww, not that kind of "cheese" pulls disgusted face ' other players laugh. One groans. Another doesn't get it
The game is about words, descriptions, and events. To just say the word on the card seems... so out of character?
(Plus, the original box art featured a greek/roman character, so pretend you're a philosopher if you like, or a mad emperor :P)
[1] The actual classic amongst my friends is any that are physics related, due to being post-grads