Little Cup Illegal Movesets

[Wild Eep*]

Wingull:
~Air Slash + Double-Edge,
~Air Slash + Mimic,
~Air Slash + Sky Attack,
~Aqua Ring + Double-Edge,
~Aqua Ring + Mimic,
~Gust + Aqua Ring,
~Sky Attack + Aqua Ring;

L100 list from TotalPotato.

[Wild Eep*]

Shroomish:
~Refresh,
~Charm + False Swipe,
~False Swipe + Wake-Up Slap,
~Wake-Up Slap + Body Slam,
~Wake-Up Slap + Double-Edge,
~Wake-Up Slap + Mimic,
~[a]Poison Heal + Body Slam,
~[a]Poison Heal + Double-Edge,
~[a]Poison Heal + Mimic;

Refresh Shroomish is from XD, so it can't work in LC.

[Wild Eep*]

Makuhita:
~Refresh,
~Close Combat + Body Slam,
~Close Combat + Double-Edge,
~Close Combat + Mega Kick,
~Close Combat + Mega Punch,
~Close Combat + Metronome,
~Close Combat + Mimic,
~Force Palm + Body Slam,
~Force Palm + Double-Edge,
~Force Palm + Mega Kick,
~Force Palm + Mega Punch,
~Force Palm + Metronome,
~Force Palm + Mimic,
~Wake-Up Slap + Body Slam,
~Wake-Up Slap + Double-Edge,
~Wake-Up Slap + Mega Kick,
~Wake-Up Slap + Mega Punch,
~Wake-Up Slap + Metronome,
~Wake-Up Slap + Mimic,
~Bullet Punch + Mega Punch,
~Bullet Punch + Mega Kick,
~Bullet Punch + Body Slam,
~Bullet Punch + Double-Edge,
~Bullet Punch + Mimic,
~Bullet Punch + Metronome,
~Feint + Mega Punch,
~Feint + Mega Kick,
~Feint + Body Slam,
~Feint + Double-Edge,
~Feint + Mimic,
~Feint + Metronome,
~Faint Attack + Detect + Cross Chop,
~Faint Attack + Detect + Revenge,
~Faint Attack + Detect + Bullet Punch,
~Faint Attack + Foresight + Cross Chop,
~Faint Attack + Foresight + Revenge,
~Faint Attack + Foresight + Bullet Punch,
~Detect + Cross Chop + Revenge,
~Detect + Cross Chop + DynamicPunch,
~Cross Chop + DynamicPunch + Feint,
~Faint Attack + Detect + DynamicPunch + Feint,
~Faint Attack + Detect + Counter + Feint,
~Faint Attack + Foresight + DynamicPunch + Feint,
~Faint Attack + Foresight + Counter + Feint,
~Detect + Foresight + Revenge + DynamicPunch,
~Foresight + Cross Chop + Revenge + Feint,
~Faint Attack + Cross Chop + Mega Punch,
~Faint Attack + Cross Chop + Mega Kick,
~Faint Attack + Cross Chop + Body Slam,
~Faint Attack + Cross Chop + Double-Edge,
~Faint Attack + Cross Chop + Mimic,
~Faint Attack + Cross Chop + Metronome,
~Detect + Cross Chop + Mega Punch,
~Detect + Cross Chop + Mega Kick,
~Detect + Cross Chop + Body Slam,
~Detect + Cross Chop + Double-Edge,
~Detect + Cross Chop + Mimic,
~Detect + Cross Chop + Metronome,
~Detect + Foresight + Revenge + Mega Punch,
~Detect + Foresight + Revenge + Mega Kick,
~Detect + Foresight + Revenge + Body Slam,
~Detect + Foresight + Revenge + Double-Edge,
~Detect + Foresight + Revenge + Mimic,
~Detect + Foresight + Revenge + Metronome;

Refresh Makuhita is from XD, so it's a no-go.

L100 list modified from TotalPotato.

[Wild Eep*]

Nosepass:
~Helping Hand,
~Discharge + Body Slam,
~Discharge + Defense Curl,
~Discharge + DynamicPunch,
~Discharge + Mimic,
~Discharge + Selfdestruct,
~Power Gem + Body Slam,
~Power Gem + Defense Curl,
~Power Gem + DynamicPunch,
~Power Gem + Mimic,
~Power Gem + Selfdestruct,
~Head Smash;

Helping Hand comes from an overleveled XD Nosepass. The only entry this list has in common with the L100 list is Head Smash, because there are no legal parents that can pass the move to Nosepass.

[Wild Eep*]

Aron:
~Metal Burst + Defense Curl,
~Metal Burst + Mimic,
~Body Slam + Head Smash,
~Curse + SmellingSalt,
~Dragon Rush + Head Smash,
~Dragon Rush + Screech,
~Dragon Rush + SmellingSalt,
~Head Smash + SmellingSalt,
~Curse + Defense Curl,
~Curse + Mimic,
~Dragon Rush + Defense Curl,
~Dragon Rush + Mimic,
~Head Smash + Defense Curl,
~Head Smash + Mimic,
~Screech + Defense Curl,
~Screech + Mimic,
~Body Slam + Curse + Dragon Rush,
~Body Slam + Dragon Rush + Stomp;

[Wild Eep*]

Meditite:
~Feint + Body Slam,
~Feint + Counter,
~Feint + Double-Edge,
~Feint + Mega Kick,
~Feint + Mega Punch,
~Feint + Metronome,
~Feint + Mimic,
~Feint + Seismic Toss,
~Force Palm + Body Slam,
~Force Palm + Counter,
~Force Palm + Double-Edge,
~Force Palm + Mega Kick,
~Force Palm + Mega Punch,
~Force Palm + Metronome,
~Force Palm + Mimic,
~Force Palm + Seismic Toss,
~Power Trick + Body Slam,
~Power Trick + Counter,
~Power Trick + Double-Edge,
~Power Trick + Mega Kick,
~Power Trick + Mega Punch,
~Power Trick + Metronome,
~Power Trick + Mimic,
~Power Trick + Seismic Toss,
~Baton Pass + Bullet Punch,
~Bullet Punch + Guard Swap,
~Bullet Punch + Power Swap,
~Bullet Punch + Psycho Cut,
~DynamicPunch + Guard Swap,
~DynamicPunch + Power Swap,
~Foresight + Guard Swap,
~Foresight + Power Swap,
~Foresight + Psycho Cut,
~Power Swap + Psycho Cut,
~Bullet Punch + Body Slam,
~Bullet Punch + Counter,
~Bullet Punch + Double-Edge,
~Bullet Punch + Mega Kick,
~Bullet Punch + Mega Punch,
~Bullet Punch + Metronome,
~Bullet Punch + Mimic,
~Bullet Punch + Seismic Toss,
~Guard Swap + Body Slam,
~Guard Swap + Counter,
~Guard Swap + Double-Edge,
~Guard Swap + Mega Kick,
~Guard Swap + Mega Punch,
~Guard Swap + Metronome,
~Guard Swap + Mimic,
~Guard Swap + Seismic Toss,
~Power Swap + Body Slam,
~Power Swap + Counter,
~Power Swap + Double-Edge,
~Power Swap + Mega Kick,
~Power Swap + Mega Punch,
~Power Swap + Metronome,
~Power Swap + Mimic,
~Power Swap + Seismic Toss,
~Psycho Cut + Body Slam,
~Psycho Cut + Counter,
~Psycho Cut + Double-Edge,
~Psycho Cut + Mega Kick,
~Psycho Cut + Mega Punch,
~Psycho Cut + Metronome,
~Psycho Cut + Mimic,
~Psycho Cut + Seismic Toss,
~Baton Pass + DynamicPunch + Foresight,
~Baton Pass + DynamicPunch + Psycho Cut,
~Baton Pass + Guard Swap + Psycho Cut,
~DynamicPunch + Fake Out + Psycho Cut,
~Fake Out + Guard Swap + Psycho Cut,
~Baton Pass + Foresight + Body Slam,
~Baton Pass + Foresight + Counter,
~Baton Pass + Foresight + Double-Edge,
~Baton Pass + Foresight + Mega Kick,
~Baton Pass + Foresight + Mega Punch,
~Baton Pass + Foresight + Metronome,
~Baton Pass + Foresight + Mimic,
~Baton Pass + Foresight + Seismic Toss;

[Wild Eep*]

Electrike:
~Discharge + Body Slam,
~Discharge + Double-Edge,
~Discharge + Mimic,
~Thunder Fang + Body Slam,
~Thunder Fang + Double-Edge,
~Thunder Fang + Mimic,
~Fire Fang + Body Slam,
~Fire Fang + Double-Edge,
~Fire Fang + Mimic,
~Ice Fang + Body Slam,
~Ice Fang + Double-Edge,
~Ice Fang + Mimic,
~Switcheroo + Body Slam,
~Switcheroo + Double-Edge,
~Switcheroo + Mimic;

[Wild Eep*]

Gulpin:
~Sing,
~Wring Out + Body Slam,
~Wring Out + Counter,
~Wring Out + Defense Curl,
~Wring Out + Double-Edge,
~Wring Out + DynamicPunch,
~Wring Out + Mimic,
~Wring Out + Nightmare,
~Wring Out + Selfdestruct,
~Acid Armor + Destiny Bond,
~Curse + Body Slam,
~Curse + Counter,
~Curse + Defense Curl,
~Curse + Double-Edge,
~Curse + DynamicPunch,
~Curse + Mimic,
~Curse + Nightmare,
~Curse + Selfdestruct,
~Destiny Bond + Body Slam,
~Destiny Bond + Counter,
~Destiny Bond + Defense Curl,
~Destiny Bond + Double-Edge,
~Destiny Bond + DynamicPunch,
~Destiny Bond + Mimic,
~Destiny Bond + Nightmare,
~Destiny Bond + Selfdestruct;

XD Sing Gulpin's level is too high.

[Wild Eep*]

Carvanha:
~Refresh,
~Aqua Jet + Mimic,
~Assurance + Mimic,
~Ice Fang + Mimic;

XD Refresh Carvanha's level is too high. As a result, this is one of the few Pokemon to have an LC illegal combo list that doesn't include any of the L100 illegal combos (all of which are Refresh + move, which is redundant when Refresh can't be had at all!).

[Wild Eep*]

Numel:
~Charm,
~AncientPower + Mimic,
~Lava Plume + Mimic,
~Mud Bomb + Mimic,
~Spit Up + Mimic,
~Stockpile + Mimic,
~Swallow + Mimic,
~Yawn + Mimic,
~[a]Simple + Mimic;

XD Charm Numel is overleveled.

[Wild Eep*]

Trapinch:
~Feint + Body Slam,
~Feint + Double-Edge,
~Feint + Mimic,
~Fissure + Body Slam,
~Fissure + Double-Edge,
~Fissure + Mimic,
~Flail + Body Slam,
~Flail + Double-Edge,
~Flail + Mimic,
~Mud Shot + Body Slam,
~Mud Shot + Double-Edge,
~Mud Shot + Mimic,
~Focus Energy + Gust,
~Focus Energy + Mud Shot,
~Quick Attack + Flail,
~Gust + Flail,
~Flail + Mud Shot;

L100 list from TotalPotato.

[Wild Eep*]

Barboach:
~Mud Bomb + Double-Edge,
~Mud Bomb + Mimic,
~Hydro Pump + Double-Edge,
~Hydro Pump + Mimic,
~Flail + Double-Edge,
~Flail + Mimic,
~Take Down + Double-Edge,
~Take Down + Mimic,
~Dragon Dance + Double-Edge,
~Dragon Dance + Mimic,
~Thrash + Spark,
~Spark + Dragon Dance,
~Take Down + Dragon Dance,
~Thrash + Flail + Take Down,
~[a]Anticipation + Double-edge,
~[a]Anticipation + Mimic;

L100 list from TotalPotato.

[Wild Eep*]

Lileep:
~Wring Out + Body Slam,
~Wring Out + Double-Edge,
~Wring Out + Mimic,
~Wring Out + Psych Up,
~Barrier + Curse,
~Barrier + Tickle,
~Curse + Tickle,
~Mirror Coat + Tickle,
~Recover + Tickle,
~Curse + Body Slam,
~Curse + Double-Edge,
~Curse + Mimic,
~Curse + Psych Up,
~Tickle + Body Slam,
~Tickle + Double-Edge,
~Tickle + Mimic,
~Tickle + Psych Up;

[Wild Eep*]

Anorith:
~Crush Claw + Body Slam,
~Crush Claw + Double-Edge,
~Crush Claw + Mimic,
~Cross Poison + Curse,
~Cross Poison + Rapid Spin,
~Curse + Rapid Spin,
~Curse + Sand-Attack,
~Curse + Screech,
~Cross Poison + Body Slam,
~Cross Poison + Double-Edge,
~Cross Poison + Mimic,
~Curse + Body Slam,
~Curse + Double-Edge,
~Curse + Mimic,
~Sand-Attack + Body Slam,
~Sand-Attack + Double-Edge,
~Sand-Attack + Mimic,
~Screech + Body Slam,
~Screech + Double-Edge,
~Screech + Mimic;

[Wild Eep*]

Shuppet:
~Shadow Sneak + Body Slam,
~Shadow Sneak + Double-Edge,
~Shadow Sneak + Mimic,
~Shadow Sneak + Nightmare,
~Shadow Sneak + Snore,
~Confuse Ray + Body Slam,
~Confuse Ray + Double-Edge,
~Confuse Ray + Mimic,
~Confuse Ray + Snore,
~Confuse Ray + Nightmare,
~Pursuit + Body Slam,
~Pursuit + Double-Edge,
~Pursuit + Mimic,
~Pursuit + Snore,
~Pursuit + Nightmare,
~[a]Frisk + Body Slam,
~[a]Frisk + Double-Edge,
~[a]Frisk + Mimic,
~[a]Frisk + Snore,
~[a]Frisk + Nightmare;

[Wild Eep*]

Duskull:
~Helping Hand,
~Shadow Sneak + Body Slam,
~Shadow Sneak + Double-Edge,
~Shadow Sneak + Mimic,
~Shadow Sneak + Nightmare,
~Faint Attack + Memento + Body Slam,
~Faint Attack + Memento + Double-Edge,
~Faint Attack + Memento + Mimic,
~Faint Attack + Memento + Nightmare,
~Grudge + Memento + Body Slam,
~Grudge + Memento + Double-Edge,
~Grudge + Memento + Mimic,
~Grudge + Memento + Nightmare;

XD Helping Hand Duskull's level is too high.

[Wild Eep*]

Snorunt:
~Sing,
~Ice Fang + Body Slam,
~Ice Fang + Double-Edge,
~Ice Fang + Mimic,
~Ice Shard + Body Slam,
~Ice Shard + Double-Edge,
~Ice Shard + Mimic,
~Bide + Disable,
~Bide + Spikes,
~Bide + Weather Ball,
~Disable + Spikes,
~Spikes + Weather Ball,
~Bide + Body Slam,
~Bide + Double-Edge,
~Bide + Mimic,
~Disable + Body Slam,
~Disable + Double-Edge,
~Disable + Mimic,
~Weather Ball + Body Slam,
~Weather Ball + Double-Edge,
~Weather Ball + Mimic,
~[a]Ice Body + Body Slam,
~[a]Ice Body + Double-Edge,
~[a]Ice Body + Mimic;

XD Sing Snorunt's level is too high.

[Wild Eep*]

Spheal:
~Charm,
~Aqua Ring + Double-Edge,
~Aqua Ring + Mimic,
~Double-Edge + [a]Ice Body,
~Mimic + [a]Ice Body;

XD Charm Spheal's level is too high.

L100 list modified from TotalPotato's.

This covers every Pokemon to my knowledge eligible for LC that has a different LC illegal combo list from L100. Now what remains to be done is some serious checking-over, of both LC and L100 combos.

[Wild Eep*]

Munchlax:
~Charm + Curse,
~Charm + Pursuit,
~Charm + Whirlwind,
~Counter + Whirlwind,
~Charm + Selfdestruct,
~Counter + Selfdestruct,
~Curse + Selfdestruct,
~Double-Edge + Selfdestruct,
~Pursuit + Selfdestruct,
~Whirlwind + Selfdestruct,
~Selfdestruct + Amnesia,
~Selfdestruct + Body Slam,
~Selfdestruct + Lick,
~Selfdestruct + Screech,
~Selfdestruct + Stockpile,
~Selfdestruct + Swallow,
~Counter + Curse + Pursuit,
~Curse + Double-Edge + Whirlwind,
~Selfdestruct + [n]Quirky,
~Selfdestruct + [g]Female,
~Selfdestruct + [n]Careful + [a]Pickup;

LC specific combos are Selfdestruct + level-up moves beyond 5.

For more details, see the L100 list for Munchlax.