Moves & techniques.

Here you'll find a complete list of all the moves that Gardevoir can learn in Pokémon X/Y and Pokémon Omega Ruby/Alpha Sapphire, either by leveling up or by using TM's and HM's. If you're looking for moves Gardevoir learns in previous generations then Serebii.net would be a good place to look.

Moves learned by leveling up in Pokémon X/Y:
Level: Move: Type: Category: Pwr.: Acc.: PP:
-- Moonblast Fairy Special 95 100% 15
-- Stored Power Psychic Special 20 100% 10
-- Misty Terrain Fairy Status -- -- 10
-- Healing Wish Psychic Status -- -- 10
-- Growl Normal Status -- 100% 40
-- Confusion Psychic Special 50 100% 25
-- Double Team Normal Status -- -- 15
-- Teleport Psychic Status -- -- 20
6 Confusion Psychic Special 50 100% 25
10 Double Team Normal Status -- -- 15
12 Teleport Psychic Status -- -- 20
17 Wish Normal Status -- -- 10
22 Magical Leaf Grass Special -- -- 10
25 Heal Pulse Psychic Status -- -- 10
33 Calm Mind Psychic Status -- -- 20
40 Psychic Psychic Special 90 100% 10
45 Imprison Psychic Status -- -- 10
53 Future Sight Psychic Special 120 100% 10
60 Captivate Normal Status -- 100% 20
65 Hypnosis Psychic Status -- 60% 20
73 Dream Eater Psychic Special 100 100% 15
80 Stored Power Psychic Special 20 100% 10
85 Moonblast Fairy Special 95 100% 15

Moves learned by leveling up in Pokémon Omega Ruby/Alpha Sapphire:
Level: Move: Type: Category: Pwr.: Acc.: PP:
-- Moonblast Fairy Special 95 100% 15
-- Stored Power Psychic Special 20 100% 10
-- Misty Terrain Fairy Status -- -- 10
-- Healing Wish Psychic Status -- -- 10
-- Growl Normal Status -- 100% 40
-- Confusion Psychic Special 50 100% 25
-- Double Team Normal Status -- -- 15
-- Teleport Psychic Status -- -- 20
4 Confusion Psychic Special 50 100% 25
6 Double Team Normal Status -- -- 15
9 Teleport Psychic Status -- -- 20
11 Disarming Voice Fairy Special 40 -- 15
14 Wish Normal Status -- -- 10
17 Magical Leaf Grass Special -- -- 10
19 Heal Pulse Psychic Status -- -- 10
23 Draining Kiss Fairy Special 50 100% 10
26 Calm Mind Psychic Status -- -- 20
31 Psychic Psychic Special 90 100% 10
35 Imprison Psychic Status -- -- 10
40 Future Sight Psychic Special 120 100% 10
42 Captivate Normal Status -- 100% 20
49 Hypnosis Psychic Status -- 60% 20
53 Dream Eater Psychic Special 100 100% 15
58 Stored Power Psychic Special 20 100% 10
62 Moonblast Fairy Special 95 100% 15

Moves learned by TM/HM:
#: Move: Type: Category: Pwr.: Acc.: PP:
TM03 Psyshock Psychic Special 80 100% 10
TM04 Calm Mind Psychic Status -- -- 20
TM06 Toxic Poison Status -- 90% 10
TM10 Hidden Power Normal Special 60 100% 15
TM11 Sunny Day Fire Status -- -- 5
TM12 Taunt Dark Status -- 100% 20
TM15 Hyper Beam Normal Special 150 90% 5
TM16 Light Screen Psychic Status -- -- 30
TM17 Protect Normal Status -- -- 10
TM18 Rain Dance Water Status -- -- 5
TM20 Safeguard Normal Status -- -- 25
TM21 Frustration Normal Physical ?? 100% 20
TM24 Thunderbolt Electric Special 90 100% 15
TM27 Return Normal Physical ?? 100% 20
TM29 Psychic Psychic Special 90 100% 10
TM30 Shadow Ball Ghost Special 80 100% 15
TM32 Double Team Normal Status -- -- 15
TM33 Reflect Psychic Status -- -- 20
TM41 Torment Dark Status -- 100% 15
TM42 Facade Normal Physical 70 100% 20
TM44 Rest Psychic Status -- -- 10
TM45 Attract Normal Status -- 100% 15
TM46 Thief Dark Physical 60 100% 25
TM48 Round Normal Special 60 100% 20
TM49 Echoed Voice Normal Special 40 100% 15
TM52 Focus Blast Fighting Special 120 70% 5
TM53 Energy Ball Grass Special 90 100% 10
TM56 Fling Dark Physical ?? 100% 10
TM57 Charge Beam Electric Special 50 90% 10
TM61 Will-O-Wisp Fire Status -- 85% 15
TM68 Giga Impact Normal Physical 150 90% 5
TM70 Flash Normal Status -- 100% 20
TM73 Thunder Wave Electric Status -- 100% 20
TM77 Psych Up Normal Status -- -- 10
TM85 Dream Eater Psychic Special 100 100% 15
TM86 Grass Knot Grass Special ?? 100% 20
TM87 Swagger Normal Status -- 90% 15
TM88 Sleep Talk Normal Status -- -- 10
TM90 Substitute Normal Status -- -- 10
TM92 Trick Room Psychic Status -- -- 5
TM94 (ΩRαS) Secret Power Normal Physical 70 100% 20
TM99 Dazzling Gleam Fairy Special 80 100% 10
TM100 Confide Normal Status -- -- 20