On xbox microsofts website most people want black ops 2 to be backwards compatible. Phil spencer said it should come soon. Most of the good games are backwards  compatible but i would personally love to see these games backwards compatible:

Civilization revolution (might happen)

Fable anniversary (evenually because fable 2/3 are already compatible)

Forza 2 (likely)

Forza 3 (likely)

Forza 4 (likely)

Forza horizon 1 (likely)

Dead or alive 4 (not going to happen)

Risk factions (not going to happen)

The Burger King Collection.

Still waiting for Vesperia.

Forza Horizon 1 is already backwards compatible and was free on games with gold last year. You need to have a physical copy to play unless you bought it digitally before since the game and all its DLC was delisted in September of last year. I doubt either Forza 2, 3 or 4 will be added anytime soon and just like with Forza Horizon you will need to have a physical copy to play it since they never where available digitally and all their DLC's have been delisted for over a year.

Magna Carta 2
Vikings: Battle for Asgard
Command and Conquer games
Battle for Middle Earth 2

Personally hoping for Assassin's Creed III, Crysis 3, Dead Space 2 and 3 & Darksiders II

I think all of them will hit the BC program eventually (with the exception of Darksiders II). EA is doing an excellent job of adding their games and putting them in the EA Access Vault.

Now that's some old stuff!

L.A Noire.
Max Payne 1-3.

That's about it.

Since they brought Lost Odyssey (And gave it for free to everyone!), this one shouldn't be a no brainer. Wonder how much will have to wait until they decide to make it compatible.

As others have said, Tales of Vesperia would be nice.