Devolver Digital has consistently brought some of its published titles to Android, so long as you're lucky enough to own a SHIELD-branded machine. Their latest port is Not A Hero, a 2D shooter that has a very old-school style of gameplay mixed with a somewhat modern approach to everything else. The game absolutely revels in its stylized, Guy Ritchie-esque British ultra-violence mixed with the kind of humor you might expect to see on any given Internet forum.
The original Hotline Miami is a love letter to top-down action game excess, marrying tight and lightning-fast controls to neon-soaked, pixelated 80s aesthetics. (Oh, and that movie Drive.) It's a game that everyone should try at least once, if only to prove that you can make a modern game with old-school aesthetics, but keep enough innovation to make the whole experience seem fresh. On Android Hotline Miami is exclusive to the SHIELD, SHIELD Tablet, and SHIELD TV, and so it is with the sequel, Wrong Number.
This one's been waiting in the wings for quite a while. NVIDIA teased The Talos Principle, a puzzle game played out primarily in full first-person 3D, way back at the reveal of the SHIELD Tablet in July of 2014. After nearly a year of waiting (and the game's full release on the PC), it's now available exclusively for newer high-end Tegra-powered devices. According to the game's Play Store description, it's intended for the SHIELD Tablet, the Nexus 9 (equipped with a Tegra K1), and the upcoming SHIELD Android TV set-top box only. It uses either touchscreen controls or external controllers.
The Talos Principle is an introspective and somewhat philosophical puzzler created by Croteam, of all people - that's the developer of the over-the-top Serious Sam shooters.