For moves marked ** as Tutor Moves from Black2 and White2, check the link below to go the links for new moves and their tutorability:
http://www.serebii.net/black2white2/movetutor.shtml
 
Bug Bite
Fury Cutter
Signal Beam
Silver Wind
String Shot
 
Dark Pulse
Foul Play**
Knock Off
Snatch
Sucker Punch
 
Draco Meteor
Dragon Pulse
Dragon Rage
Dragonbreath (Gen II TM)
Dual Chop**
Outrage
Twister
 
Electroweb**
Magnet Rise
Shock Wave
Thunderpunch
Zap Cannon
 
Counter
Detect (Gen II TM)
Drain Punch
Dynamicpunch
Focus Punch
Low Kick
Seismic Toss
Submission (Gen I TM)
Superpower
Vacuum Wave
 
Blast Burn
Fire Pledge
Fire Punch
Heat Wave
 
Air Cutter
Bounce
Defog
Roost
Sky Attack
Tailwind
 
Nightmare
Ominous Wind
Spite
 
Bullet Seed
Giga Drain
Grass Pledge
Mega Drain (Gen I TM)
Seed Bomb
Synthesis
Worry Seed
 
Drill Run**
Earth Power
Fissure (Gen I TM)
Mud-slap
 
Avalanche
Ice Punch
Icy Wind
 
After You**
Bide (Gen I TM)
Block
Body Slam
Captivate
Double-Edge
Egg Bomb (Gen I TM)
Endeavor
Endure
Harden (Early TM)
Headbutt
Heal Bell
Helping Hand
Horn Drill (Gen I TM)
Last Resort
Mimic
Mega Kick
Mega Punch
Metronome
Natural Gift
Pain Split
Pay Day (Gen I TM)
Rage (Gen I TM)
Razor Wind
Rock Climb
Secret Power
Selfdestruct
Skull Bash (Gen I TM)
Snore
Softboiled
Super Fang
Sweet Scent (Gen II TM)
Swift
Take Down (Gen I TM)
Tri-Attack
Uproar
Whirlwind
 
Gastro Acid
Gunk Shot
 
Gravity
Magic Coat
Magic Room**
Psywave (Gen I TM)
Role Play
Skill Swap
Teleport (Gen I TM)
Trick
Zen Headbutt
Wonder Room**
 
Ancientpower
Rollout
Stealth Rock
 
Iron Defense
Iron Head
Iron Tail
Steel Wing
 
Aqua Tail
Brine
Bubblebeam (Gen I TM)
Hydro Cannon
Water Gun (Gen I TM)
Water Pledge
Whirlpool