My wordy opinions:
Elephant is pro, really very nicely done.
The chest is nice.
Mixing 2d with 3d or isometric perspective gets a bit confusing and looks messy from an art point of view, as it just doesn't make sense for continuity. Exceptions being things like tables where you
have to give an isometric view to give it a shape as it would just be a square in plan. So sticking with the 2d cage and such is the better option I think.
The Cabinet needs symmetry, it looks lop sided or kind of on its end if it doesn't. The old "chest of drawers" version is a decent approximation but your right that it's not a cabinet as such.
Personally I would do something like this
which is just a roughly edited version of yours. Since it's 18x18 and you had the old version with a off centre line in the middle it looks a little off so it may be better to make the centre line 2 wide of offset the whole thing 1 pixel and make it symmetrical, I didn't bother centring it as it's just for illustration and quite sure you could do a better job. But that kind of look is a little more appealing, in my opinion at least the simplicity of symmetry suits it better.
I'm not a big fan of the trap tile either, it does look like bear trap right enough and more specific than the old tile but looks kind of "messy" in game. The old trap tile is abstract and can make you instantly think generic trap but also volcano, which is something that is lost with the more detailed one. Since none of the traps are actually bear traps makes it a little odd as well, since the older graphics were abstract it didn't matter so much. But that's a minor point and is personal preference as much as anything.
Levers need to stand out more I think. Particularly the on/off states, red/green even if it is dulled by material colour slightly is better than dark and slightly brighter. If you are thinking about colour blind people then using black as off and bright green for on would help. Also I think it would be better if you separated the "handle" part from the "mechanism" part a little. So it looks something more like a real ratchet mechanism lever. At the moment i think it looks like a babies rattle with half of the round bit cut off. My google-fu is failing me so i can't find a good picture of what I mean but I will post something later.
Any chance of providing a version with transparent backgrounds for the ones with the smoothed tile background such as the meat, leather, brackets, parentheses and such?
Same with the text/numbers just a basic font without drop shadow or any nonsense like that. Please
psd/xcf would be just as good (if you do have backgrounds and text effects as separate layers that is) if you don't want to bother messing about for the minority(?) that prefer clean fonts and backgrounds.
TL:DR Art is awesome, but needs tweaks. I <3 the elephant. Also clean text version please!