What are all the legendary Pokemon you can get in Pokemon X and Y?

Question

look at the question

Answer 1

Xerneas (X only)
Yveltal (Y only)
Mewtwo
Zygarde
Articuno/Zapdos/Moltres (only one, dependant on the starter you choose)
Diancie (Expired event)
Hoopa (Expired event)
Volcanion (Expired event)

Comments

Thanks but how do you get articuno/zapdos/moltres? (I already saw moltres in route 21, but I wasn't able to battle him. Where is he now?

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After meeting it 12 times around the land,  it can be found ath the Sea Spirits Den.

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Where are all the places where you meet him?

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You can meet him randomly in tall grass.

Answer 2

Here is a list:

Xerneas ( after Anistar Gym Team flare HQ in X, in Y trade)

Yveltal (after Anistar Gym Team flare HQ in Y, in X trade)

Mewtwo (A cave in the Pokemon village after beating the elite four)

Zygarde (Deep in Terminus Cave, after beating elite four)

Articuno Zapdos or Moltres (Depending on the starter you have, after elite four, can be

                                                        anywhere  in kalos but after a number of encounters, go to the sea 
                                                        spirits den)