I'm not sure how far in I am (at least half way), and I'm sure I've missed a bunch of optional/hidden stuff, but I have two major problems with the game so far: First would be would be the lack of loot. I think every enemy either drops a blood vial (the healing item), bullets, shards, or a gem (+stats for your weapon sockets), and some special enemies drop runes. That's it. Armor, and especially new weapons, are fairly rare - much more so than in any of the other games. That's a big step back imo, since I always enjoyed finding new equipment.
The other problem I have is the way healing is set up, and that ties together with the loot. Blood vials are basically your Estus Flask, except you always spawn with 20 of them as long you have some stashed away in the bank. If you run out, you'll have to buy some from the shop or go farming (which shouldn't be too bad since they're common enough). My inventory has been maxed out for a while, though, so half the time when I loot an enemy, a message pops up telling me that my inventory is full. That's kinda annoying on its own, but it also means you can heal often and not really have to worry about it. I thought Dark Souls 2's healing system was pretty much perfect, so this is another step back.
I also think there's going to be a lack of build variety since they simplified a few things (eg. no rings or equip burden) and there's less equipment to choose from, but everything else has been great. Combat is faster and more satisfying than ever (I love the gun off-hand especially), backstabs were nerfed again, the boss fights are great, and the level design has been top notch. With Dark Souls 2, From really dropped the ball when it came to creating an interesting world through the art, atmosphere, and interconnected level design, but they nailed it in Bloodborne imo.
I'm mostly just pointing out the stuff that I don't like, so I don't want to sound like I'm down on the game or anything. There's a good chance it'll be my GOTY.