As the Title says here is a quick Overview of all the lapis currently in game:
--Last edited in Jule 2019, Credits to Rinux for helping with the list!--

Craft Lapis Lv5 +20 STR Linkable in: Shield/Weapon/Shoes/Pants/Armor Lv1+
Craft Lapis Lv6 +30 STR Linkable in: Shield/Weapon/Shoes/Pants/Armor Lv1+
Craft Lapis Lv7 +50 STR Linkable in: Shield/Weapon/Shoes/Pants/Armor Lv31+
Craft Lapis Lv8 +65 STR Linkable in: Shield/Weapon/Shoes/Pants/Armor Lv71+
Craft Lapis Lv9 +75 STR Linkable in: Helmet/Shield/Gaunlet/Weapon/Pants Lv75+

Safe Lapis Lv5 +20 REC Linkable in: Shield/Weapon/Shoes/Pants/Gaunlet Lv1+
Safe Lapis Lv6 +30 REC Linkable in: Shield/Weapon/Shoes/Pants/Gaunlet Lv1+
Safe Lapis Lv7 +50 REC Linkable in: Shield/Weapon/Shoes/Pants/Gaunlet Lv31+
Safe Lapis Lv8 +65 REC Linkable in: Shield/Weapon/Shoes/Pants/Gaunlet Lv71+
Safe Lapis Lv9 +75 REC Linkable in: Helmet/Shield/Gaunlet/Weapon/Pants 75+

Mystic Lapis Lv5 +20 INT Linkable in: Gaunlet/Weapon/Shoes/Pants/Armor Lv1+
Mystic Lapis Lv6 +30 INT Linkable in: Gaunlet/Weapon/Shoes/Pants/Armor Lv1+
Mystic Lapis Lv7 +50 INT Linkable in: Gaunlet/Weapon/Shoes/Pants/Armor Lv31+
Mystic Lapis Lv8 +65 INT Linkable in: Gaunlet/Weapon/Shoes/Pants/Armor Lv71+
Mystic Lapis Lv9 +75 INT Linkable in: Helmet/Shield/Gaunlet/Weapon/Pants Lv75+

Wise Lapis Lv5 +20 WIS Linkable in: Gaunlet/Weapon/Shoes/Pants Lv1+
Wise Lapis Lv6 +30 WIS Linkable in: Gaunlet/Weapon/Shoes/Pants Lv1+
Wise Lapis Lv7 +50 WIS Linkable in: Gaunlet/Weapon/Shoes/Pants Lv31+
Wise Lapis Lv8 +65 WIS Linkable in: Gaunlet/Weapon/Shoes/Pants Lv71+
Wise Lapis Lv9 +75 WIS Linkable in: Helmet/Shield/Gaunlet/Weapon/Pants Lv75+

Shrewd Lapis Lv5 +20 DEX Linkable in: Gaunlet/Weapon/Shoes/Armor Lv1+
Shrewd Lapis Lv6 +30 DEX Linkable in: Gaunlet/Weapon/Shoes/Armor Lv1+
Shrewd Lapis Lv7 +50 DEX Linkable in: Gaunlet/Weapon/Shoes/Armor Lv31+
Shrewd Lapis Lv8 +65 DEX Linkable in: Gaunlet/Weapon/Shoes/Armor Lv71+
Shrewd Lapis Lv9 +75 DEX Linkable in: Helmet/Shield/Gaunlet/Weapon/Pants Lv75+

Fortune Lapis Lv5 +20 LUC Linkable in: Weapon/Shoes/Pants/Armor Lv1+
Fortune Lapis Lv6 +30 LUC Linkable in: Weapon/Shoes/Pants/Armor Lv1+
Fortune Lapis Lv7 +50 LUC Linkable in: Weapon/Shoes/Pants/Armor Lv31+
Fortune Lapis Lv8 +65 LUC Linkable in: Weapon/Shoes/Pants/Armor Lv71+
Fortune Lapis Lv9 +75 LUC Linkable in: Helmet/Shield/Gaunlet/Weapon/Pants Lv75+

Life Lapis Lv5 +360 HP Linkable in: Helmet/Shield/Gaunlet/Shoes/Pants/Armor Lv1+
Life Lapis Lv6 +500 HP Linkable in: Helmet/Shield/Gaunlet/Shoes/Pants/Armor Lv1+
Life Lapis Lv7 +2000 HP Linkable in: Helmet/Shield/Gaunlet/Shoes/Pants/Armor Lv31+
Life Lapis Lv8 +2200 HP Linkable in: Helmet/Shield/Gaunlet/Shoes/Pants/Armor Lv71+
Life Lapis Lv9 +2500 HP Linkable in: Shoes/Necklace/Armor Lv75+

Forbid Lapis Lv5 +24 DEF Linkable in: Armor Lv1+
Forbid Lapis Lv6 +32 DEF Linkable in: Armor Lv1+
Forbid Lapis Lv7 +50 DEF Linkable in: Armor Lv31+
Forbid Lapis Lv8 +75 DEF Linkable in: Armor Lv71+
Forbid Lapis Lv9 +100 DEF Linkable in: Armor Lv75+

Wit Lapis Lv5 +75 RES Linkable in: Helmet Lv1+
Wit Lapis Lv6+100 RES Linkable in: Helmet Lv1+
Wit Lapis Lv7 +200 RES Linkable in: Helmet Lv31+

Flash Lapis Lv1 +1 ATK SPEED Linkable in: Weapon Lv1+
Swift Lapis Lv1 +2 ATK SPEED Linkable in: Weapon Lv1+
Max Flash Lapis +3 ATK SPEED Linkable in: Weapon Lv1+

Sonic Lapis Lv1 +1 MOV SPEED Linkable in: Shoes Lv1+
Sonic Lapis Lv2 +2 MOV SPEED Linkable in: Shoes Lv1+

Assault Lapis Lv5 +24 ATK POWER Linkable in: Weapon Lv1+
Assault Lapis Lv6 +32 ATK POWER Linkable in: Weapon Lv1+
Assault Lapis Lv7 +50 ATK POWER Linkable in: Weapon Lv31+
Assault Lapis Lv8 +75 ATK POWER Linkable in: Weapon Lv71+
Assault Lapis Lv9 +100 ATK POWER Linkable in: Weapon Lv75+

Dual Craft Lapis Lv5 +13 REC +15 STR Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv31+
Dual Shrewd Lapis Lv5 +13 STR +15 DEX Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv31+
Dual Fortune Lapis Lv5 +13 DEX +15 LUC Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv31+
Dual Wise Lapis Lv5 +13 LUC +15 WIS Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv31+
Dual Mystic Lapis Lv5 +13 LUC +15 INT Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv31+
Dual Safe Lapis Lv5 +13 DEX +15 REC Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv31+

Dual Craft Lapis Lv6 +30 STR +25 DEX Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor/Necklace Lv71+
Dual Shrewd Lapis Lv6 +30 REC +25 DEX Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor/Necklace Lv71+
Dual Fortune Lapis Lv6 +30 LUC +25 DEX Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor/Necklace Lv71+
Dual Wise Lapis Lv6 +30 INT +25 WIS Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor/Necklace Lv71+
Dual Mystic Lapis Lv6 +30 INT +25 LUC Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor/Necklace Lv71+
Dual Safe Lapis Lv6 +30 REC +25 WIS Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor/Necklace Lv71+

Helm Craft Lapis Lv1 +20 STR Linkable in: Helmet Lv1+
Helm Craft Lapis Lv2 +30 STR Linkable in: Helmet Lv31+

Helm Shrewd Lapis Lv1 +20 DEX Linkable in: Helmet Lv1+
Helm Shrewd Lapis Lv2 +30 DEX Linkable in: Helmet Lv31+

Helm Fortune Lapis Lv1 +20 LUC Linkable in: Helmet Lv1+
Helm Fortune Lapis Lv2 +30 LUC Linkable in: Helmet Lv31+

Helm Mystic Lapis Lv1 +20 INT Linkable in: Helmet Lv1+
Helm Mystic Lapis Lv2 +30 INT Linkable in: Helmet Lv31+

Helm Wise Lapis Lv1 +20 WIS Linkable in: Helmet Lv1+
Helm Wise Lapis Lv2 +30 WIS Linkable in: Helmet Lv31+

Helm Safe Lapis Lv1 +20 REC Linkable in: Helmet Lv1+
Helm Safe Lapis Lv2 +30 REC Linkable in: Helmet Lv31+

Triple Craft Lapis +25 STR +20 REC +400 HP Linkable in: Helmet/Shield/Gaunlet/Shoes/Pants/Armor Lv1+
Triple Shrewd Lapis +25 DEX +20 LUC +400 HP Linkable in: Helmet/Shield/Gaunlet/Shoes/Pants/Armor Lv1+
Triple Mystic Lapis +25 INT +20 WIS +400 HP Linkable in: Helmet/Shield/Gaunlet/Shoes/Pants/Armor Lv1+

Heart Lapis +15 ALL STAT Linkable in: Helmet/Necklace Lv1+
Star Lapis +15 ALL STAT Linkable in: Helmet/Ring Lv1+
Pure Lapis +15 ALL STAT Linkable in: Helmet/Loop Lv1+

Pain Lapis Lv6 Stuns the target for 3 seconds Linkable in: Weapon Lv1+
Pain Lapis Lv7 Stuns the target for 4 seconds Linkable in: Weapon Lv1+

Freezing Lapis Lv6 Freezes the target for 5 seconds Linkable in: Weapon Lv1+
Freezing Lapis Lv7 Freezes the target for 7 seconds Linkable in: Weapon Lv1+

Blindside Lapis Lv6 Stops the target from doing any physical shooting attack for 5 seconds Linkable in: Weapon Lv1+
Blindside Lapis Lv7 Stops the target from doing any physical shooting attack for 7 seconds Linkable in: Weapon Lv1+

Silent Lapis Lv6 prevents the target from doing any magical attack for 5 seconds Linkable in: Weapon Lv1+
Silent Lapis Lv7 prevents the target from doing any magical attack for 7 seconds Linkable in: Weapon Lv1+

Crawl Lapis Lv6 Slows the target's movement speed by 1 level Linkable in: Weapon Lv1+
Crawl Lapis Lv7 Slows the target's movement speed by 2 levels Linkable in: Weapon Lv1+

Panic Lapis Lv6 Decreases the target's defense by 50 for 30 seconds Linkable in: Weapon Lv1+
Panic Lapis Lv7 Decreases the target's defense by 150 for 30 seconds Linkable in: Weapon Lv1+

Curse Lapis Lv6 Decreases the target's attack-power by 50 for 30 seconds Linkable in: Weapon Lv1+
Curse Lapis Lv7 Decreases the target's attack-power by 170 for 30 seconds Linkable in: Weapon Lv1+

Slowmo Lapis Lv6 Decreases the target's attack-speed by 2 levels for 30 seconds Linkable in: Weapon Lv1+
Slowmo Lapis Lv7 Decreases the target's attack-speed by 2 levels for 50 seconds Linkable in: Weapon Lv1+

Toxin Lapis Lv6 Poisons the target and deals HP damage of 3% of Max HP every 3 seconds Linkable in: Weapon Lv1+
Toxin Lapis Lv7 Poisons the target and deals HP damage of 5% of Max HP every 3 seconds Linkable in: Weapon Lv1+

Disease Lapis Lv6 deals SP damage of approximately 9% of Max SP every 3 seconds for 30 seconds Linkable in: Weapon Lv1+
Disease Lapis Lv7 deals SP damage of approximately 9% of Max SP every 3 seconds for 15 seconds Linkable in: Weapon Lv1+

Confusion Lapis Lv6 dealing MP damage of approximately 9% of Max MP every 3 seconds for 30 seconds Linkable in: Weapon Lv1+
Confusion Lapis Lv7 dealing MP damage of approximately 9% of Max MP every 3 seconds for 15 seconds Linkable in: Weapon Lv1+

Jinx Lapis Lv6 Decreases the target's hit rate by 21% for 60 seconds Linkable in: Weapon Lv1+
Jinx Lapis Lv7 Decreases the target's hit rate by 37% for 60 seconds Linkable in: Weapon Lv1+

Slumber Lapis Lv6 makes the target Sleep for 60 seconds Linkable in: Weapon Lv1+
Slumber Lapis Lv7 makes the target Sleep for 60 seconds Linkable in: Weapon Lv1+

Phoenix Lapis Elemental Fire II +15 ALL STAT Linkable in: Weapon Lv31+
Terra Lapis Elemental Earth II +15 ALL STAT Linkable in: Weapon Lv31+
Hydra Lapis Elemental Water II +15 ALL STAT Linkable in: Weapon Lv31+
Storm Lapis Elemental Wind II +15 ALL STAT Linkable in: Weapon Lv31+

Blaze-Burn Lapis Lv2 Elemental Fire II Linkable in: Weapon Lv16+
Blaze-Light Lapis Lv2 Elemental Fire II Linkable in: Armor Lv16+
Water-Fear Lapis Lv2 Elemental Water II Linkable in: Weapon Lv16+
Water-Light Lapis Lv2 Elemental Water II Linkable in: Armor Lv16+

Earth-Shock Lapis Lv2 Elemental Earth II Linkable in: Weapon Lv16+
Earth-Panic Lapis Lv2 Elemental Earth II Linkable in: Armor Lv16+
Wind-Gale Lapis Lv2 Elemental Wind II Linkable in: Weapon Lv16+
Wind-Scroll Lapis Lv2 Elemental Wind II Linkable in: Armor Lv16+

Star of Hephaestus Elemental Fire I +10 ALL STAT Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv1+
Star of Poseidon Elemental Water I +10 ALL STAT Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv1+
Star of Demeter Elemental Earth I +10 ALL STAT Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv1+
Star of Aeolus Elemental Wind I +10 ALL STAT Linkable in: Helmet/Shield/Gaunlet/Weapon/Shoes/Pants/Armor Lv1+

Absorption Lapis Lv5 +50 ABSORP Linkable in: Shield/Gaunlet/Shoes/Pants/Armor Lv16+
Absorption Lapis Lv6 +75 ABSORP Linkable in: Shield/Gaunlet/Shoes/Pants/Armor Lv31+
Absorption Lapis Lv7 +100 ABSORP Linkable in: Shield/Gaunlet/Shoes/Pants/Armor Lv45+
Absorption Lapis Lv8 +150 ABSORP Linkable in: Shield/Gaunlet/Shoes/Pants/Armor Lv71+
Absorption Lapis Lv9 +200 ABSORP Linkable in: Shield/Gaunlet/Shoes/Pants/Armor Lv75+

Lucky Lapis +10 ALL STAT Linkable in: Everything Lv1+

Mechanic Lapis #1 +15 ALL STAT Linkable in: Necklace/Loop/Ring Lv15+
Mechanic Lapis #2 +25 ALL STAT Linkable in: Necklace/Loop/Ring Lv30+
Mechanic Lapis #3 +35 ALL STAT Linkable in: Necklace/Loop/Ring Lv40+

Elemental Orb of Fire Elemental Fire II Linkable in: Armor Lv71+
Elemental Orb of Water Elemental Water II Linkable in: Armor Lv71+
Elemental Orb of Wind Elemental Wind II Linkable in: Armor Lv71+
Elemental Orb of Earth Elemental Earth II Linkable in: Armor Lv71+

64k Microchip +40 ALL STAT Linkable in: Necklace/Loop/Ring Lv60+