Destiny is an online-only FPS with RPG and MMO elements, set 700 years in the future, in an age where humanity has spread throughout the Solar System.
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Pros
Pro Created by Bungie, a well known studio for making quality games
Created by the same company that created Halo, this spiritual successor has the familiar feel with some refined game play and the polish and quality you'd expect. The DLC coming out with Taken King has also been good, and expand on the game quite nicely.
Pro MMO experience
An MMO experience in a FPS game; Bungie has done quite well with making attaining gear and weapons enjoyable through single and multiplayer content. Taken King made the grind much less of a chore and more enjoyable as well, and made the whole leveling process better with refinements to all aspects of the game.
Pro Customizable gear/weapons
Destiny has a great system to customize gear and weapons with different color options and designs, as well as acquiring different gear through playable content.
Cons
Con Imbalanced multiplayer
While stats from gear is equalized during multiplayer, perks from legendary weapons and armor give a real advantage to players who have put in more time. Not a problem that makes it unplayable, but newer players might get frustrated when skill is not the only factor.