Because it might help some people trying to gamble them, I've created a list of full new sets that I've managed to get. This list just keeps track of what the item types in each set are (which is enough for people to gamble them). This list is a bit long, so please bear with me.
The sets I've completed so far:
Salander's tirade:
Partizan
Linked mail
Casque
Nature's grove:
Antlers
Maul
Ring
Hard leather armor
Mishy's crusade:
Sharktooth armor
Amulet
Rune scepter
Protector shield
Battle gauntlets
Legacy of Vashna:
Poignard
Serpentskin armor
Death mask
Bogrot's magic:
Serpentskin armor
Rune scepter
Scutum
Cabal of aggression:
Rune sword
Embossed plate
Anceint shield
Savage helm
Alkalund's avatar:
Sharkskin boots
Ceremonial bow
Mesh armor
Coronet
Ring
Heavy bracers
Midnight calling:
Studded leather armor
Cap
Chain gloves
Hatchet hands
Sheena's grace:
Scale mail
Amulet
Stag bow
Light belt
Four seasons:
Ancient armor
Light gauntlets
Great helm
Greaves
Heaven declined:
Mage plate
Amulet
Ring
Ring
Nature's kingdom:
Bone helm
Heavy gloves
Bone shield
Full plate
Heavy belt
Snowmane's jewelry:
Circlet
Plated belt
Amulet
Ring
Joel's arcane lore:
Round shield
War hat
Ghost armor
Cloudy sphere
Talonrage's fury:
Pike
Gauntlets
Assault helm
Field plate
Grimlock's grave:
Quilted armor
Bone wand
Zombie head
Belt
And some new uniques that are really great in my opinion (of the ones I've found) are: HAlbu's gift (battleboots), Royal plate (embossed plate), Spectral image (ghost wand), Luck sigil (amulet) Crypt king (amulet), Rapturous blessings (heavy bracers), Diablo's skin (balrog skin), Wirebreeder (spiculum), Torturer's trust (scissors suwayyah), Vengeance of the wronged (lich wand), Silence of the sphynx (quarterstaff), Nullwand (grave wand), Zero effect (battle boots), Sorcerer's cache (coronet), Tarrasque hide (boneweave) and Star of Bethlehem (heavenly stone).
Whew! Sorry if that was too long.