This is the deck I use for Fellowship Dailies, it's a fun deck really but has been quite successful too. It's a Dwarf / Moria deck, but with unusual approaches in both sides...
Frodo, Reluctant AdventurerThe One Ring, Isildur's BaneFree Peoples deck (42 cards):
1x 
Gimli, Son of Gloin (starting)
1x 
Farin, Dwarven Emissary (possible starting)
1x 
Fror, Gimli's Kinsman (possible starting)
2x 
Gloin, Friend to Thorin3x 
Gandalf, The Grey Pilgrim1x 
Grimir, Dwarven Elder1x 
Thrarin, Dwarven Smith3x 
Elrond, Herald to Gil-galad1x 
Albert Dreary, Entertainer From Bree1x 
Barliman Butterbur, Prancing Pony Proprietor2x 
Book of Mazarbul2x 
Dwarven Axe2x 
Dwarven Bracers1x 
Gimli's Battle Axe1x 
Gimli's Helm3x 
Hand Axe1x 
Glamdring1x 
Wizard Staff1x 
Sting1x 
Narya1x 
Mithril-coat4x 
Flurry of Blows1x 
A Wizard Is Never Late1x 
Servant of the Secret Fire3x 
Sleep Caradhras2x 
Hobbit StealthShadow deck (42 cards):
3x 
Cave Troll of Moria, Scourge of the Black Pit3x 
Goblin Flankers3x 
Goblin Patrol Troop4x 
Goblin Runner3x 
Goblin Scavengers2x 
Goblin Scrabbler1x 
Goblin Warrior1x 
The Balrog, Flame of Udun2x 
Troll's Keyward1x 
Cave Troll's Hammer4x 
Goblin Scimitar3x 
Moria Axe1x 
Host of Thousands2x Such a Little Thing4x 
Goblin Armory2x 
Goblin Swarms2x 
Relics of Moria3x 
They Are ComingSitepath:
Hobbiton WoodsTrollshaw ForestRivendell TerraceMithril MineThe Bridge of Khazad-dumDimrill DaleAnduin ConfluenceShores of Nen HithoelEmyn MuilFree Peoples: 
Khazad-Dum. Dwarves have a bunch of critical weak points, but Gandalf can counter those with ease while taking advantage of their strong side. So I like to call this fellowship 'Old Man & Short People': everyone is either aged or short, but looks are deceiving as they can be surprisingly brutal! Dwarves by themselves have very little healing tools (
Dwarven Heart, 
Still Draws Breath and 
A Royal Welcome) and no serious condition removal (
Make Light of Burdens and 
Song of Durin), thus they are very susceptible to lose against grind or condition dependant shadows. Their strong conditions are easily negated by 
Saruman's Power, so they shouldn't rely on them. Therefore, 
Sleep Caradhras comes as the natural solution. And 
Elrond, HtGG is there for healing (though 
Dwarven Heart can be a cheaper replacement).
The starting fellowship must be Gimli and one of the 'F' dwarves (not Gloin as his text gives him strength +1 max). If your opponent plays a deck of 74 cards or more, start Farin; otherwise start 
Fror. Play a 
Dwarven Axe on 
Fror and most Uruks will regret to show up early. Nazgul are the main threat, 
Hobbiton Woods + 
Trollshaw Forest can relieve the 
peril of site 2 (and give you a lot of early drawing), but by site 3 
Attea Keeper of Dol Guldur and 
Lord of Angmar have good chances of killing key companions... so keep there the twilight as low as you can (playing Elrond at site 2 can be good anyway, as he'll fight those wraiths).
1x 
Gimli's Battle Axe, 2x 
Dwarven Axe, 3x 
Hand Axe and 2x 
Dwarven Bracers give those small guys power over most of the minions, and 4x 
Flurry of Blows are there when items aren't enough. Grimir shuffles those events back, and Elrond heals Grimir. 
Wizard Staff is a nice surprise in desperate situations, while 
Narya and Elrond make it's cost much more accessible.
Mithril-coat saves them from Moria Archery, as Elrond alone isn't enough. 
After setting up it's extremely solid: they draw plenty with 
Book of Mazarbul and 
the Grey Pilgrim (that combo draws 3 cards only at fellowship, which allows to use Barliman before reaching the Rule of 4) while the Shadow side unclogs the hand; they have awesome condition control, mean and skilled skirmishers (Cave Trolls and Balrogs die often in battle), some swarm prevention (Gimli's Axe, Thrarin, 
Wizard Staff, 
SotSF and 
Hobbit Intuition) and some burden and wound reduction.
Warriors of Erebor in glory and majesty... and a Maia Wizard to expel The Balrog from their sacred halls.
"The Axes of the Dwarves are upon you!"Shadow: 
Moria. Scavenged dwarven axes in sharp service to other masters... Not the common Swarm one, but Beatdown Goblins. Goblin Patrols or 
Troll's Keyward become big Uruks when they wield a dwarf-steel 
Moria Axe and can overwhelm/wound to death with ease, and prevent double moves (Flankers' frightening text contributes to that). The Keyward and 
Goblin Runner allow the Cave Troll to join the party, as those big goblins are very expensive... 
Goblin Swarms is often the target of condition removal, because these minions win by mere inertia.
Non-directed archery can reduce the power of this shadow, but often won't kill those muscular Goblins due to their high vitality. 
If you expect to face strong archery, you can pack 2x Goblin Archer to preserve the valuable vitality of your minions, and even give them Moria Axes to become competitive fighters!There are 3x 
They Are Coming and no 
Host of Thousands, as the deck is huge and both sides draw plenty. It's always good to play 
TAC soon, but don't discard the other copies unless you are sure there won't be condition removal.
2x 
Such A Little Thing is there to nullify one of the top threats: Boromir in any form causes severe headaches, 
Defender of Minas Tirith + Horn being the worst... 
Goblin Scrabbler discards annoying elven conditions (
TLAoEaM, White Arrows, 
TSoTB, 
Far-Seeing Eyes...), sometimes kills an exhausted Legolas by removing 
The Tale of Gil-Galad. 
Goblin Warrior can ditch dwarven conditions (
Greatest Kingdom of My People, 
Till Durin Wakes Again and 
Song of Durin), and once in a while will discard 
Thrarin, DS in front of your opponent's paled face.
There is some risk of decking out, and then Grimir can help a little. But by then you should have many Goblin-Uruks stacked on 
Goblin Swarms...
Site 4 (Moria Stairway) can wreak havoc if you are lucky (Troll's Keyward with 10 str and dmg +2 is an ugly surprise), and Site 9 (
Emyn Muil) allows for a swarm if you couldn't harvest your beatdown work in previous sites... Goblin-shaped big Uruks with Damage +1 and 13 strength or more, repeating the beatdown.
And finally, don't forget this is a Moria deck: it's designed to Beatdown as big Uruks, but will often swarm too... The evil condition machinery of 
Goblin Armory + weapons works even better here than in a common Swarm build, as this deck packs 3x 
Moria Axe and a 
Cave Troll's Hammer besides the usual 4x 
Goblin Scimitar... If you see a chance of overwhelming Gandalf prior to his condition control tricks, take the risk and ditch your whole hand to do so because he's your main foe.
Please comment, and feel free to use it.
EDIT: Replaced site 4 
Moria Stairway with 
Mithril Mine, as the first looks good in theory but directed archery or skirmish cancelling (or 
Armor) negates almost always the benfit. +1 twilight at site 4 is good too.
EDIT: Removed some typos.