-Attunement Sphere - Weight: 0 - "Discerning The Transmundane Quest" completed.*
-Runed Lexicon - Weight: 0 - "Discerning The Transmundane Quest" completed.*
-Finn's Lute - Weight: 4 - Quest Unknown, Location Picked Up Unknown.
-Pantea's Flute - Weight: 2 - Quest Unknown, Location Picked Up Unknown.
The Attunement Sphere you're stuck with unless on PC.
Lexicon is same as above.
Finn's Lute, Pantea's Flute and Rjorn's Drum are stuck, unless PC.
Glitch with Pantea's Flute where if you find prior to getting the quest, you can't finish it (so it's stuck AND you get no reward.)
-Ruby Dragonclaw: I think it was for Gauldur's amulet quest but now it won't go away. Note that the other claw involved in this quest (Gauldur's tomb has two puzzle doors) can be removed afterwards just fine.
I think there's another part to this. Mine was stuck for a while but eventually after doing a few more of those puzzle doors I found it was removeable.
Strange amulet
Blood on the ice quest
If you're stuck with it you either: completed the quest incorrectly due to it's terrible design (not your fault, though) or you have yet to complete it.
The Stones of Barenziah--all 24 of the damn things--are not only stuck in your inventory once you pick one up, but weigh half-a-pound each and don't stack properly, in spite of their being quest items.
All of Arondil's journals stay in your inventory after the quest. You can't drop them but you can sell them to the TG fence.
As long as they remain as an "Unusual Gem" they stack. If you have Vex identify them, they no longer stack (minus what was already stacked.) Also quest items don't weigh anything. Ignore the fact it STATES it has weight - it is a lie.
Hmm, I was able to drop the journals. I just shoved them in my loot chest.
For Gallus' Journal, had no problems with that either. Maybe it's circumstantial.