Destiny's got a couple more things going for it over Warframe in my books anyways, but I suspect I'm merely biased because my experience with Warframe was abortive whereas I put a bit more time into Destiny 1, although I declined to play any of the expansion content and I only raided twice. That being said, Destiny has the benefit of being a Bungie shooter, so it strikes a fine balance between the twitchy Call of Duty shooting and the floaty gameplay of arena shooters like Quake. Movement in general feels a lot smoother than Warframe, which, in my experience, was way too jittery. Weapons in Destiny all have a lot of punch and feeling to them, as can be expected of the developer, and they generally feel great to use. The aesthetics are also far superior, Destiny and Warframe both try for similar visual styles but I much prefer Destiny's decayed near-future aesthetic combined with the more exotic alien environments and locales over Warframe's. As for the musical score, it's not even a contest.