Iji, it's a free game, and it's a side scrolling shooter rpg thing, with a pretty good story if you ask me. It's like four hours long, and definitely worth even some money.
Frozen Synapse, an extremely tactical game. I'm horrible at it, but it is so in depth and just blaarrrgggg. Also the music kicks ass.
Soul Sacrifice, because it's a Vita exclusive. It's basically a story heavy monster hunting game. It's no Monster Hunter in terms of gameplay, but its story is just the right shade of grimdark with a hint of awesome, and it's still a very fun game to play.
Nearly any Shin Megami Tensei game besides Persona 4. Yeah, I realize they are pretty big, but I still never hear anyone talk about them in terms of my friend groups, even the biggest weebs I know don't know much about the main series.