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Dragon bone Cuirass (gives 100% fire resist and is the best heavy armor, so far, you'll get in the game): South West of Ebon-heart in a Grotto submerged in the water (requires water breathing and a Grandmaster lock pick or a Spell to unlock 2 level 100 locked Doors) once inside swim until you find an entrance to a dwemer ruin. Keep swimming until you find a ladder with a hatch on the top (level 100 lock) and go through it. Once inside look for a closet (level 100 lock on it) where the armor is.*Also there's a RARE hero potion on a shelf in the room as well!
Oreyn the Bear Claw helm (gives 40+ to agility and endurance): Head to Dagon fel and swim, water walk or levitate west until you get past the sanctus Shrine (you can find it on the map if you found it or have the map that comes with the game) then head south until you find a long island with a daedric shrine on it. Head into the shrine (will have to fight sum orcs) and talk to the statue. The statue will want you to find the "False" heir and kill him for betraying him. Head to Hla Oad and head north until you find sum dark-elves in armor around sum dead monsters. Speak to Oreyn (or the one in dwemer armor) and after you chat (talk on all topics on his list), kill him and his bodyguards. Return to the statue for your reward
Spear of Bitter Mercy: A powerful spear with a summon storm antronach and Reflect for 30 sec's on use. Head for the city of Vivec and head for the St. Delyn's Canton area. Head to the very bottom of it (sewers) and look for a shrine (its guarded by some orc's). Once you get through them, talk to the statue for the quest. You have to go and speak to a hermit (the island farthest north west of Vas) whose name is "Big Head". He'll give you a fork (Fork of Horripilation which is a very very weak weapon) and sends you to kill a giant Bull netch on a island just east of where he is. You have to land the killing blow on the netch with the fork. Once that's done head back to the shrine to get the spear.
Ring of Surroundings (gives limited Chameleon on the user): At Balmora you might get a rumor that a guard at Fort Moon-moth wants to see you. Head to Fort Moonmoth and speak to the guard in the guards resting quarters (in the main building) he'll ask you to go "Take care of some business" for him. He wants all the people in the Corner Club to be killed (Blood bath). After you do, return to him to get your reward.
Umbra (Powerful longsword with soul-trap enchant on it): When at Suran you might get a rumor about a crazy warrior that somewhere around the mountain side of suran (You need to be of HIGH level for this). Use a levitate spell or go around the long way toward the mountains north of suran (between Bal ur, daedric shrine, and suran). You'll see a lone Orc warrior in full Orchish armor, speak to him and he'll ask for a noble or heroic death. Accept and kill him to get Umbra.
Azura's star (Powerful soul-stone that will NEVER break upon using the soul captured with soul-trap,is a MUST for people that like to make enchantments or recharge ones they already have): Head to the tip of the peninsula in the Azura Coast region (you best have levitate or water walking for this, and a high combat level). Look for a statue, and just below it should be a door to a daedric ruin (no monsters or anything to fight inside) and talk to the statue, she tells of how she made a bet with the god Sheogorath that a human can stay loyal for a certain amount of years. Sheogorath plans to win the bet by sending an army of daedra to kill this individual. Your to kill all the daedra on the island but don't talk or "disturb" the women in the shack there. Head from azura's shrine Straight north until you reach dagon fel. From there, head west until you reach an island with a wooden Shack and a bunch of daedra on it. Kill all the daedra (there should be a Golden saint there) take sheogorath's ring from the Golden saint and return to azura for your reward.