So, what is everyone's favorite way to play? These are generalizations of deck types. I'll start by saying I'm partial to Tank and Mill.
Beat Down: One or two huge minions who kill the fellowship one by one, such as the balrog.
Swarm: Swarm the opponent with so many minions you overwhelm the RB
Bomb: A few large strength minions that can win their skirmishes unaided, usually around 7-9 strength. The goal is to slowly weather down their companions, and eventually kill them all.
Corruption: Self Explanatory.
Archery/Mass wounding: Self explanatory.
Mill: Discarding the opponents had and deck to make your life easier.
Combo: Utilizing crazy cards interactions for a powerful deck, such as the fruit loops deck.
Mass Heal: Self Explanatory.
Choke: Not giving the opponent any twilight to work with.
Tank: Making your companions extremely strong and hard to deal with, so that they win most skirmishes.
Other: Anything. An example would be terraforming, where you look through your deck and re-arrange cards. Another would be Telepathy, where you figure out what cards are where, inc. in your opponents hands and decks.