My favourites are Fire Emblem Awakening and Virtues Last Reward. Both share beautiful graphics, a great storyline, good replayability and lots of hours of gameplay. Other than that the games are totally different. Fire Emblem is a strategy and fantasy game while VLR is a visual novel with a focus on psychology and puzzles.
FEA is very likeable for it's intriguing storyline and the way you can build up relationships between the characters. It can be played very intensively or a quite casual. There is an enormous amount of sidequests and the story has everything you could wish for. It's funny, tragic and mysterious.
VLR is a highly intelligent game. While it focuses on puzzles and the psychology behind the choices you make I also found elements of quantum physics, English literature and fiction, Latin (lots of it if you know where to look), economics, physics, astronomy, philosophy and biology. That might sound intimidating but you will find that you'll learn and recognise a lot. The storyline is very intriguing and grabs you right from the start. The setting is in the not-so-distant future. It is quite and intensive game and it will give you a lot to think about. It is probably my all time favourite game. I really, really love it. Just like a good book this game has the ability to change your view on the world. There are 24 endings and to understand it all you will find yourself playing the game (at least 24 times) making sure this game lasts a long time. I could talk on for hours about it but I would spoil a lot of it. It is quite a cheap game considering how good it is.