Speaking about Backgammon variants:
One of the most interesting for me(except Backgammon and Fevga) is Domino-Backgammon or whatever they call it.
What is this? A VERY interesting Backgammon variant where thinking carefully is necessary while it is very fun too....!

How is played: Instead of a dice you have 36 dominoes. Each domino has the numbers of every possible combination of 2 dice, that is 11,12,13,...65,66.
At the start of the game a dice is being used to determine the player who will play first.

But then we forget dice and use a domino to determine our move. The first player picks one domino of his choise(not random) for example 45(a better variant in my opinion is the one that doesn't allow a double choice at the beginning of the game) and plays 45 but he should have in his mind that the other player could pick whatever he wants! The dominoes that has been used can't be used again for that player, until we run out of dominoes(that means we played all our 36). Then the game continues with again having a new set of 36 dominoes from 11,12....to....66.