Ok...before I start I'm going to say this: I am aware most of the story is not actually in game. For most people the Grimoire cards are in very poor taste. I had no problem reading them but many of you do and that is understandable .
That being said it is RIDICULOUS to say that Destiny has no story. Quite to the contrary, Destiny has an insane amount of content. It may be fragmented and up to interpretation at times, but overall the lore is very well crafted. It is the part of Destiny I criticize the least (still eyeing you Crucible). The tales of Old Guardians and their accomplishments, the history of each enemy faction excluding the Cabal currently, and even to a lesser extent the weapons.
And then I could end most arguments about lore with two words: TWIGHLIGHT GAP. That Battle alone changed so much. It saw Zavala elected to Vanguard because Shaxx refused and instituted the Crucible. Saladin was forced to step down from the Vanguard but honored through the Iron Banner. The rise of the Thunderlord and birth of the Gjallerhorn. Dredgen Yor slaying Valor. The Reef Wars, which in turn leads to the ENTIRE House of Wolves DLC. Osiris being exiled. I could go on a lot more.
My point is that you shouldn't just criticize a game for lack of story because you don't like to read. Is the story perfect? Heck no. Does it have holes? Yeah, sometimes big ones. I'm just trying to put out that the lore is one of the better parts of the game, if not THE best part....ok, that last bit was opinion, but oh well.
BTW, if there are any story holes or gaps you wish to address, feel free to let me know. I do enjoy discussing the Destiny universe.
Edit: Wow...already so close to the trending Category...Thanks guys. I enjoy hearing what you have to say, either agree or disagree..and yes, to a lesser extent the haters too.
Edit 2: Shadow Artiste and metdevil brought up excellent points about the difference between lore and story. However if you take the definition of each, both apply to the grimoire. This result in an awkward case where the grimoire is both lore and story
Edit 3: Trending now. Thanks everyone. I'm finishing up my classes for the night and will respond to you guys ASAP.
I actually love that Destiny is light on story, but with a really rich lore - it's the best balance for RPGs imo. I just download the collected grimoire from around the web and read it at better reading times (on the bus, in bed, etc.) The way it is it doesn't break up the game, but sure enhances playing it.