gistfile1.txt

Dropchord (Android, iOS, Ouya, PC)
Hundreds (Android, iOS)
Layton Brothers: Mystery Room (Android, iOS)
Mighty Switch Force! 2 (3DS*, WiiU*)
Rymdkapsel (Android, iOS, Vita*)
The Room Two (iOS)
The Starship Damrey (3DS*)

If including interactive fictiony type things:

Black Crown (PC)
Depression Quest (PC)

If including episodic games where episodes started releasing in 2013, with the remainder releasing in 2014:

Broken Sword 5: The Serpent's Curse (PC, Vita)
The Walking Dead: Season Two (360*, iOS, PC, PS3*)
The Wolf Among Us (360*, PC, PS3*)