Back in 2005, a group of people got together to fix the complete lack of turn-based, hex-based fantasy wargames. They very quickly developed a rough game called Battle for Wesnoth. This game is open source, and freeware. It always has been, and presumably always will be. Anyway, it's been in continuous development ever since the first release in 2005, and has now hit Steam.
BfW is an exceptionally good - and not at all easy - wargame, and a great introduction to a much under-appreciated genre of games. And did I mention it's freeware? So if you ever thought about maybe checking out those weird-ass neckbeard games, but the thought of doing battle at the Eastern front and trying to memorise the differences between 60 types of tanks was too intimidating, BfT is the game for you. It's simple and intuitive if you know your fantasy tropes; elves are good archers, orcs are brutal in melee, and so on. And it's also free. Oh and it has cutesy anime'ish graphics, which I know a lot of you appreciate.