This is just a list of all the skills and a description (where needed) of what that skill does. I figured having this here would make tuning up your perfect puppet a lot easier than just sifting through menus. Feel free to comment on skill builds you really like!

War Spire - [lance] crit rate + 50

Stubborness - Survive Fatal Damage with 1 HP

Startle Recovery

Star Spirit - Ambushes inflict startle less often

Pierce Res. Up

Tenacious Strength - STR up

Lucky Star - Big luck bonus

Lance Master - Improves Lance proficiency

Startle Res. Up

Armor Piercing - Ignore 15% enemy DEF when attacking

Adrenaline Rush - Stun chance + 35 when HP < 1%

Iron-Clad Fortune - Guard rate +15%. but only if you're fortunate

Dual Blade Expert - %0% chance to strike with both weapons (S+ prof. only)

Shadowstep - Attacks more likely to miss

Poison Recovery

Blunt Res. Up

Underhanded Strike - Crit +75 when attacking a stunned enemy

Tenacious Fingers - Better Dex

Curse Share - When affected by a status, attacks deal 100 additional damage

Sword Master - Sword prof. Up

Poison Res. Up

Shadow Cowardice - Less likely to be targeted when hp < 10%

Bypass Armor - Attacks ingore 25% of enemy DEF when HP is full

Blade Deflection - Decrease enemy attack on you by 20% when HP is full.

Love, Hate, Love - Doubles all rapport gains and losses

Healing Chime - [Bell] Recover 3% HP each turn and 20% at battle's end

Illusion Recovery

Cursed Chime - [bell] Increase Resonance chance and slightly draw enemy attention

Fog Res. Up

Tenacious Charm - +CHM

Actor's Tenacity - ATK +50% for each attack that misses until hit (caps at 500%)

Bell Master - Bell Prof. up

Illusion Res. Up

Signal Flare - Resonance rate ++ when HP < 30%

Forsaken Fortune - AVD +35% but only when luck is in despair

Anti-Donum Heresy - Coven DP consumption +25%, but attacks deal more damage

Donum Master - Increase Donum damage by 13%. Stacks.

Knockout - 25% chance to perform 2-5 additional attacks against stunned foes.

Abyss Recovery

Donum Efficiency - Reduce Coven's DP consumption by 25% (does not stack)

Flame Res. Up

Tenacious Donum - DMP+

Eclipse - [Lamp] Ignore 25% of enemy DEF when attacking

Lamp Master - Lamp prof.+

Abyss Res. Up

Squishy Body - All incoming damage mitigated when HP is full

Master Masochist - DEF +15% each time you're hit (caps at 105%)

Body Touch - 25% chance to confuse enemy attacker when HP is full

Siege Shield - Recover 5% max HP when using defend/fortify

Guardian's Soul - Base 10% chance to intercept an attack. Increases to +15% for each katar equipped.

Stench Recovery

Tortoise Shell - Increase potency of Defend/Fortify by 5% per consecutive use

Slash Res. Up

Tenacious Stamina - Con+

Mega Bash - [Katar] +stun chance next turn when damaged after using Defend/fortify

Katar Master - Katar prof.+

Stench Res. Up

Unbreakable - Guard rate +10%

Iron Wall - Guard Rate +20% when HP is full

Heavy Smasher - [Hammer] Stun Chance +25 but ACT speed greatly reduced

Fancy Footwork - ATK +50% for each attack you avoid until hit. (caps at 500%)

Crossbow Sniper - [crossbow] ACT speed +75%/HIT +25%

Confuse Recovery

Stealth - Each round of battle lowers your chance of being targeted

Mud Res. Up

Tenacious Speed - AGI+

Steady Aim - Crit Rate+100/Hit +100% next turn after using Defend/Fortify

Crossbow Master - Crossbow prof.+

Confuse Res. Up

Swiftness - Moderate increase to ACT speed

Thin Ice - Crit rate +5 when you avoid an attack (caps at +25)

Crossbow Salvo - [crossbow] 3% chance to attack enemy group 10 times

Dimemberer - +Chance to inflict critical gore

Reckless Blows - Increase crit damage with S+ proficiency weapons, but rapport will suffer

Total Recovery - Recover faster from all negative status

Evil Eye - 50% chance to inflict illusion on hit

Improved Bloodflow - ATK + 25% when attacking

Prankster - Stun chance + 10%

Maverick - Inflict and receive crits based on your lucky number

Hammer Master - Hammer prof.+

Fortitude - Stun res. +20

Reflexive hardening - When attacked, DEF temp increases by 25%

Font of Power - ATK +25%/Stun Chance +25 next turn after using Defend/Fortify

Immortal Sin - Attacks may confuse when HP <30%. More effective at higher karma.

Scythe Dancer - [Scythe] 12% chance to attack enemy group 4 times.

Wickerman - Increase ATK by "missing puppet part x1"

Mental Unity - Hit +20%

Evil in Bloom - During battle, Tractie's karma replaces your LUC stat

Repel - When attacked, enemy's ATK reduced by 25%

Heroic Stance - Crit +50

Vampirism - Recover 10% of damage dealt as HP on crit

Scythe master - Scythe prof.+

Slippery - AVD +20%

Instant Transmission - ACT speed ++ at full HP

Zone - Hit +50% when HP is full

Humblebrag - AVD +70%/Hit -75% when HP < 5%