X360A - Turn-based strategy games aren't a genre that you'd normally associate with the humble console, but Firaxis is looking to change all that with XCOM: Enemy Unknown.
Dealing with an alien threat, you're in charge of your own elite XCOM unit, retrieving and researching extra-terrestrial technology, developing your own tactics against your alien antagonists.

Amazon Prime subscribers can claim free PC games to keep via its Luna service.

XCOM: Enemy Unknown rebooted the series back in 2012, and has since inspired numerous new strategy game series to be born.
If someone gets into this I'd recommend getting the enemy within version. It's got all the dlc included so it's the better version. Wish the author would've atleast mentioned it. I didn't see it.
Fantastic game though. Xcom 2 is top notch also. I've spent countless hours in these games.

There are few things more gratifying in gaming than skillfully turning the tide of a conflict. And few genres provide as many opportunities to abruptly reverse the odds via skill and forethought as tactical strategy. To be sure, we are more often than not talking about turn-based tactical mobile games, specifically titles in line with the iconic landmark series (XCOM and Jagged Alliance) that made the genre a genre.