Final Fantasy Tactics was an oddball when it was first released for the PlayStation in 1997 - ostensibly a member of the never-repeating (at the time) Final Fantasy series, the game broke from the familiar turn-based battles with a new isometric system that put a huge emphasis on tactical positioning and strategic use of classes and attack ranges. While FFT never got the attention of the standard numbered RPGs in the series, it became a sleeper hit, and the original was kept alive with a few sequels and remakes. It remains a popular game for PS1 emulators.
You won't need an emulator to play Final Fantasy Tactics: The War of the Lions, at least not anymore. Square Enix just released the game onto the Play Store for $13.99, which is pretty much in line with the company's pricing for Android ports. War of the Lions is an enhanced remake of the original PlayStation game, first released on the PSP in 2007 and on iOS two years ago. It features the same basic gameplay with new high-resolution sprites and anime-style cutscenes for crucial portions of the plot. If you've never played a tactical RPG, imagine it as a fusion of the tile-based combat found in most tabletop RPGs and conventional turn-based combat. The X-COM series is a modern example from a western developer, and a few similar titles are available on Android, like Record of Agarest War and Ambition of the Slimes.
War of the Lions is available for Android 4.0 and higher, but unfortunately not for Android TV - Square Enix's support for the platform remains hit-and-miss. Ditto for controller support or Google Play Games cloud saves; both are missing, a big disappointment for an ostensibly premium game that many have been waiting on for years. Even the game's aspect ratio - originally standard 16:9 on the PSP - is distorted to make way for awkward touch control buttons.