I can't imagine a game so fundamentally about number crunching being universally appealing, but the audience it will appeal to will absolutely love it.
Ashes of the Singularity has limited depth in some aspects, but as an RTS experience, and particularly as a first showing for its Oxide Engine foundation, it is absolutely stellar.
Epistory doesn't try to do too much, instead focusing on perfect execution of what it does. The world is gorgeously crafted around you as the narrator lulls you into contentment, but the creeping insect enemies will keep you moving and actively entertained.
Like many, I've been a fan of Rock Band for years, and Rock Band 4 fills all of those gaming inclinations. The several minuscule issues coupled with the primary, yet still small concern of ambiguous song difficulties mean it's imperfect, but not by much.
Hearthstone might not fully scratch the strategy itch of the most advanced CCG/TCG players, but it makes an impressive attempt. The rules are simple, so anybody can get the hang of it, but there are enough deck variations available that only skilled deck builders and players will make it high in the ranks.
Grey Goo is, frankly, fantastic. From the opening scenes through the entire narrative thread of the campaign, you'll want to improve your game if only so you can see what happens next as quickly as possible.
Need for Speed: Rivals is like the love child of GTA and Grand Turismo. It avoids the repetitive closed-course race tracks in favor of a fun, free-spirited open world racing experience.
Defense Grid 2 is a fairly typical Tower Defense game at its core, but the layers of complexity give it a lot more staying power and replay value than you are likely accustomed to. With 21 campaign levels, and plans to offer countless more as downloads, there is no end to how much time you can spend with DG2, and that's not even counting fighting for placement on the leaderboards... or multiplayer. DG2 is a shining example of Kickstarter done right.
Mortal Kombat X offers the best story mode I've ever personally seen in a fighting game. Its cohesive plot and extended cinematics makes you feel much more like a participant in a film than a player on the couch. The fighting is frantic, fluid, and dynamic, with the glorious goriness of the X-Ray moves often turning the tides of battle.
You don't even have to really like the match-3 genre to enjoy Tumblestone. Barring some sort of moral or principled objection to the genre, you definitely need to play it. It is a rare breed of game that offers exactly what it promises, and does so flawlessly.