All right, I'm just going to go through the whole game and say when people claimed things. I also want to keep track of hints, so actual claims will be bolded, and hints will not. I might have missed a few things, so let me know if I missed something. I'll post thoughts about this in a future post, this is more of a data dump that others might find useful.
D1
#53: MiX thinks Didds knows something about his item [unknown] ("would you rather someone else have it")
#73: Didds goes along, saying someone she trusts should have it [unknown]
#87: Galzria claims to have money, and says he has no need of stuff
#97: MiX thinks Didds has his item, then next post abandons
#100: skip claims parts of his item (3 o's, 8 letters) [notebook]
#121: LaLight claims to not need anything
#122: Didds claims to need something with two words [unknown]
#136: LaLight thinks he has [pocket knife] what Didds needs [unknown]
#169: Joseph has toilet paper
#201: mail-mi claims to need one of {Blueberries, Rope, Camera, Glasses, Hat}
#207: Joseph claims to need one of {Chemicals, Statue, Golf balls, Smoothie maker, Nighlight}
#209: faust claims to need one of {Golden talisman, Scarf, Access card, Pickled fish, Rollerblades} [unknown]
#210: MiX's need [unknown] sticks out like a sore thumb
#242: skip claims that his item [Rope] is on another person's [mail-mi] list
#521: Swan claims to need one of {Driver's License, Inhaler, Wedding Ring, Sunscreen, Telescope} [unknown]
#287: skip claims that his item [Rope] is on mail-mi's list
#302: mail-mi claims to need the rope
#312: skip claims to need the rope
#376: MiX thinks that the sum of the letters in what he has [unknown] and needs [unknown] is around 9/10
#591: mail-mi claims to be a Sailor, a Jailkeeper when he has the rope
#594: mail-mi claims to have a baseball cap, and it does nothing for him
#623: Didds claims to not need the baseball cap
#707: skip claims to have the notebook
#728: Joth claims to need the notebook
#731: Awaclus claims to have an ugly hat that makes him hated
#752: Awaclus flips Compulsize Fruit Vendor
D2
#756: DatSwan flips Investigator (modified motion detector/tracker)
#760: Joth received notebook from skip, and started with a code book, which let him read the notebook
#762: Didds claims that someone [Joseph] stole the item [unknown] she was giving to MiX
#763: MiX, cryptic as ever, says he's better off without the item, then says we're in trouble
#775: Didds claims someone [LaLight] tried to trade with her [pocket knife]
#776: Scola sent an item [owl piece] to someone they thought was town [joth], even though they thought someone else [Joseph] might have needed it
#778: LaLight was the one who tried to trade with Didds [pocket knife]
#780: MiX was approached [faust] for a trade [possibly owl piece] and denied it
#781: LaLight says that Didds hinted at an item he has [pocket knife]
#782: The item LaLight offered [pocket knife] was not what Didds needed
#789: Didds thinks scum wouldn't start with the item she needs
#791: Didds did not receive any items
#792: Joseph received an item [owl head from sudgy]
#802: Galzria says that he thinks there's a scum version of his role [graverobber]
#805: sudgy basically claims to have given Joseph a part of something [owl head] that he thought would be useful for Joseph
#816: Joseph says that the item he received [owl head] was a piece of what he needs
#817: faust claims to have the same role as LaLight [pawnbroker]
#822: LaLight thinks that no one needs the item he has [pocket knife]
#826: faust targeted MiX for a trade [possibly owl piece]
#833: scola says they think their item is not doubled (unsure if this is the item they started with or the item they need)
#844: Eevee tried to give mail-mi the rope but the rope was stolen
#858: skip did send the notebook to joth, did not get the rope
#923: Joth started with another item [owl piece]
#938: LaLight fullclaims, as Pawnbroker, who can offer trades
#982: Joth claims to have a use for part of something metal [the owl]
#984: Joseph claims to have a use for the part of something metal [the owl] as well
#988: Didds still needs stuff [unknown]
#990: LaLight claims to not have the part of something metal [the owl]
#1007: Didds needs one thing, that is not metal or in parts [unknown]
#1009: Joseph claims that his thing links three of the things he posted, and is made of copper [the owl]
#1026: scola sent joth part of the metal item [the owl].
#1032: mail-mi did not give away an item
#1036: scola has no more items [erroneously false]
#1051: Didds doesn't need the baseball cap
#1215: Galzria flips Graverobber
D3
#1216: Didds flips Modified Doctor
#1226: LaLight didn't trade and instead gave his item to someone [sudgy] who didn't claim what they needed
#1229: LaLight gave a pocket knife [to sudgy], thought Didds needed it
#1273: Joseph claims third party with wincon of getting the owl, stole from Didds [unknown] N1, and from joth [owl piece] N2 (soon after claims he can steal, grave rob, or trade)
#1276: Joseph says that the item [unknown] from Didds didn't seem to fit for a Doctor
#1282: faust had a piece of the owl but it got stolen [by unknown]
#1295: Joseph says that he stole an owl piece from Joth
#1338: Joth says that the notebook talked about the person getting the owl pieces wins
#1359: Joth thinks that anybody can win with the owl pieces, not just Joseph
#1378: Joth gave the notebook to someone [unknown], plans on giving the codebook to that person (then decides not to after MiX says to)
#1403: sudgy confirms his previous claim that he gave Joseph an owl piece
#1411: LaLight gave the pocket knife to sudgy
#1419: ADK started with a magnifying glass, gave it to someone [scola] N1
#1423: Joth claims non-GT
#1447: Scola claims GT
#1449: Scola claims to have no items since N1 [erroneously false]
#1455: MiX claims to be very powerful
#1457: sudgy claims to be a GT
#1462: Joseph claims to still have the toilet paper
#1483: Mod confirmation that scola received the magnifying glass
#1498: sudgy claims the knife has a passive ability
#1531: sudgy claims that other than the owl head and the knife, nothing else happened with him
Question to Joseph: What three things on your list had to do with a copper owl? Only the statue makes sense to me.
Question to faust: You listed items you needed, but you don't seem to need anything. What was that all about?
Notable: a lot of people claimed to not need things. This might be useful to know.
Notable: Joth is the only person to have claimed to start with two things. Is this scummy?