Soul Sacrifice Delta
One of the most underrated and overlooked exclusive games on the PS Vita, Soul Sacrifice really deserved better than what it got when it first released. The game is similar to Monster Hunter in that players can go on quests to hunt down large bosses and take down other regular enemies for rewards. There was also online multiplayer, which allowed players to group up with three other people to fight a boss together. This was pretty big for those who wanted a new Monster Hunter game on the Vita.
In addition to that, Soul Sacrifice also introduced the interesting save/sacrifice mechanic. If one of your allies was downed, you could save them to bring them back to the fight at the cost of a portion of your HP. However, if you sacrificed them, you could unleash a powerful attack on your enemies. The abilities and sacrifices in the game paved the way for more focused character builds, so you could play the game however you liked. Soul Sacrifice Delta was an expanded version of the game which added more story content and boss fights.