It seems that Absorb has been used by a wild Tangrowth in the most recent Japanese episode I've viewed. Now if only they'd let us see Shadow Force~
Mirror Move - Ash's Pidgeot used it in the first season
Kinesis - Sabrina's Kadabra used it plenty of times, just not as a move, but an action
Softboiled
Leech Life - The Amazing Mandy's Golbat used this on Ash's Kingler but he knocked it out with Hyper Beam first.
Barrage - Again, The Amazing Mandy. His Eggsecutor (sp?) used it on Ash's Krabby while it was stuck in the Psychic whirlpool and prevented Ash from calling Krabby back into its Pokeball.
Struggle
Sketch - Smeargle episode. Not all moves have commands. It was a Smeargle action.
Thief - Team Rocket? xD
Mind Reader
Nightmare - Darkrai.
Curse
Snore
Conversion 2
Reversal
Spite
Powder Snow - Pretty sure this was used in a Johto episode. Swinub and the Hot Springs?
Belly Drum
Spikes
Outrage
Milk Drink - Miltank episode.
Fury Cutter
Frustration
Sleep Talk
Return
Pain Split
Sacred Fire
Baton Pass
Encore - Plusle and Minun cheerleading.
Vital Throw
Pursuit?
Moonlight
Psych Up
Beat Up
Fake Out
Swallow?
Hail
Torment
Flatter
Momento
Facade
SmellingSalt
Follow Me
Taunt
Nature Power
Role Play - This is the move james' Mime Jr. uses.
Helping Hand
Wish
Superpower
Magic Coat
Recycle
Endeavor
Eruption
Skill Swap
Imprison
Grudge
Snatch
Dive - used as an Action.
Camouflage
Luster Purge
Mist Ball
Mud Sport
Slack Off
Poison Fang
Blast Burn
Odor Sleuth
Sheer Cold - Saori's Lapras used Sheer Cold as a contest move. Froze the whole lake.
Metal Sound
Cosmic Power
Water Spout - Wailmer and Wailord.
Extrasensory
Icicle Spear
Block
Howl?
Covet
Water Sport
Calm Mind
Dragon Dance
Roost
Gravity
Miracle Eye
Wake-Up Slap
Healing Wish
Natural Gift
Pluck
Tailwind
Acupressure
Metal Burst - Byron's Bastiodon.
U-Turn
Payback
Embargo
Assurance
Fling
Psycho Shift
Trump Card
Heal Block
Wring Out
Power Trick
Gastro Acid
Lucky Chant
Me First
Power Swap
Guard Swap
Copycat
Punishment
Last Resort
Worry Seed
Sucker Punch
Toxic Spikes
Rock Polish
Bug Buzz
Switcheroo
Nasty Plot
Avalanche
Shadow Sneak
Psycho Cut - Gallade in the Giratina movie, IIRC.
Trick Room
Power Whip
Rock Wrecker
Magnet Bomb
Captivate
Chatter
Bug Bite
Defend Order - used as an action in the Vespiquen episode.
Heal Order
Lunar Dance
Crush Grip
Magma Storm
Shadow Force