We have compiled a list of all the gems in the Diablo 4 beta, as follows:

Crude Amethyst
Gem
Weapon: +[4|1%|] Damage Over Time
Armor: [6.6|1%|] Damage Taken Over Time Reduction
Jewelry: [11.5|1%|] Shadow Resistance
Can be inserted into equipment with sockets.
Requires Level 15

Chipped Amethyst
Gem
Weapon: +[5|1%|] Damage Over Time
Armor: [8.2|1%|] Damage Taken Over Time Reduction
Jewelry: [14.3|1%|] Shadow Resistance
Can be inserted into equipment with sockets.
Requires Level 20

Amethyst
Gem
Weapon: +[6|1%|] Damage Over Time
Armor: [9.8|1%|] Damage Taken Over Time Reduction
Jewelry: [16.9|1%|] Shadow Resistance
Can be inserted into equipment with sockets.
Requires Level 40

Flawless Amethyst
Gem
Weapon: +[7|1%|] Damage Over Time
Armor: [11.4|1%|] Damage Taken Over Time Reduction
Jewelry: [19.6|1%|] Shadow Resistance
Can be inserted into equipment with sockets.
Requires Level 50

Royal Amethyst
Gem
Weapon: +[8|1%|] Damage Over Time
Armor: [13|1%|] Damage Taken Over Time Reduction
Jewelry: [22.1|1%|] Shadow Resistance
Can be inserted into equipment with sockets.
Requires Level 60

Crude Diamond
Gem
Weapon: +[4|1%|] Ultimate Skill Damage
Armor: +[4|1%|] Barrier Generation
Jewelry: [4|1%|] Resistance to All Elements
Can be inserted into equipment with sockets.
Requires Level 15

Chipped Diamond
Gem
Weapon: +[5|1%|] Ultimate Skill Damage
Armor: +[5|1%|] Barrier Generation
Jewelry: [5|1%|] Resistance to All Elements
Can be inserted into equipment with sockets.
Requires Level 20

Diamond
Gem
Weapon: +[6|1%|] Ultimate Skill Damage
Armor: +[6|1%|] Barrier Generation
Jewelry: [6|1%|] Resistance to All Elements
Can be inserted into equipment with sockets.
Requires Level 40

Flawless Diamond
Gem
Weapon: +[7|1%|] Ultimate Skill Damage
Armor: +[7|1%|] Barrier Generation
Jewelry: [7|1%|] Resistance to All Elements
Can be inserted into equipment with sockets.
Requires Level 50

Royal Diamond
Gem
Weapon: +[8|1%|] Ultimate Skill Damage
Armor: +[8|1%|] Barrier Generation
Jewelry: [8|1%|] Resistance to All Elements
Can be inserted into equipment with sockets.
Requires Level 60

Crude Emerald
Gem
Weapon: +[6|1%|] Critical Strike Damage to Vulnerable Enemies
Armor: +[0.06] Thorns
Jewelry: [11.5|1%|] Poison Resistance
Can be inserted into equipment with sockets.
Requires Level 15

Chipped Emerald
Gem
Weapon: +[7.5|1%|] Critical Strike Damage to Vulnerable Enemies
Armor: +[0.075] Thorns
Jewelry: [14.3|1%|] Poison Resistance
Can be inserted into equipment with sockets.
Requires Level 20

Emerald
Gem
Weapon: +[9|1%|] Critical Strike Damage to Vulnerable Enemies
Armor: +[0.09] Thorns
Jewelry: [16.9|1%|] Poison Resistance
Can be inserted into equipment with sockets.
Requires Level 40

Flawless Emerald
Gem
Weapon: +[10.5|1%|] Critical Strike Damage to Vulnerable Enemies
Armor: +[0.105] Thorns
Jewelry: [19.6|1%|] Poison Resistance
Can be inserted into equipment with sockets.
Requires Level 50

Royal Emerald
Gem
Armor: +[0.120] Thorns
Jewelry: [22.1|1%|] Poison Resistance
Can be inserted into equipment with sockets.
Requires Level 60

Crude Ruby
Gem
Weapon: +[12}|1%|] Overpower Damage
Armor: [5|1%|] Maximum Life
Jewelry: [11.5|1%|] Fire Resistance
Can be inserted into equipment with sockets.
Requires Level 15

Chipped Ruby
Gem
Weapon: +[15}|1%|] Overpower Damage
Armor: [5.5|1%|] Maximum Life
Jewelry: [14.3|1%|] Fire Resistance
Can be inserted into equipment with sockets.
Requires Level 20

Ruby
Gem
Weapon: +[18}|1%|] Overpower Damage
Armor: [6|1%|] Maximum Life
Jewelry: [16.9|1%|] Fire Resistance
Can be inserted into equipment with sockets.
Requires Level 40

Flawless Ruby
Gem
Weapon: +[21}|1%|] Overpower Damage
Armor: [7|1%|] Maximum Life
Jewelry: [19.6|1%|] Fire Resistance
Can be inserted into equipment with sockets.
Requires Level 50

Royal Ruby
Gem
Weapon: +[24}|1%|] Overpower Damage
Armor: [8|1%|] Maximum Life
Jewelry: [22.1|1%|] Fire Resistance
Can be inserted into equipment with sockets.
Requires Level 60

Crude Sapphire
Gem
Weapon: +[6|1%|] Critical Strike Damage to Crowd Controlled Enemies
Armor: [4|1%|] Damage Reduction while Fortified
Jewelry: [11.5|1%|] Cold Resistance
Can be inserted into equipment with sockets.
Requires Level 15

Chipped Sapphire
Gem
Weapon: +[7.5|1%|] Critical Strike Damage to Crowd Controlled Enemies
Armor: [5|1%|] Damage Reduction while Fortified
Jewelry: [14.3|1%|] Cold Resistance
Can be inserted into equipment with sockets.
Requires Level 20

Sapphire
Gem
Weapon: +[9|1%|] Critical Strike Damage to Crowd Controlled Enemies
Armor: [6|1%|] Damage Reduction while Fortified
Jewelry: [16.9|1%|] Cold Resistance
Can be inserted into equipment with sockets.
Requires Level 40

Flawless Sapphire
Gem
Weapon: +[10.5|1%|] Critical Strike Damage to Crowd Controlled Enemies
Armor: [7|1%|] Damage Reduction while Fortified
Jewelry: [19.6|1%|] Cold Resistance
Can be inserted into equipment with sockets.
Requires Level 50

Royal Sapphire
Gem
Weapon: +[12|1%|] Critical Strike Damage to Crowd Controlled Enemies
Armor: [8|1%|] Damage Reduction while Fortified
Jewelry: [22.1|1%|] Cold Resistance
Can be inserted into equipment with sockets.
Requires Level 60

Crude Skull
Gem
Weapon: [0.02|~|] Life On Kill
Armor: +[4|1%|] Healing Received
Jewelry: +[100] Armor
Can be inserted into equipment with sockets.
Requires Level 15

Chipped Skull
Gem
Weapon: [0.025|~|] Life On Kill
Armor: +[5|1%|] Healing Received
Jewelry: +[170] Armor
Can be inserted into equipment with sockets.
Requires Level 20

Skull
Gem
Weapon: [0.03|~|] Life On Kill
Armor: +[6|1%|] Healing Received
Jewelry: +[230] Armor
Can be inserted into equipment with sockets.
Requires Level 40

Flawless Skull
Gem
Weapon: [0.036|~|] Life On Kill
Armor: +[7|1%|] Healing Received
Jewelry: +[295] Armor
Can be inserted into equipment with sockets.
Requires Level 50

Royal Skull
Gem
Weapon: [.041|~|] Life On Kill
Armor: +[8|1%|] Healing Received
Jewelry: +[340] Armor
Can be inserted into equipment with sockets.
Requires Level 60

Crude Topaz
Gem
Weapon: +[13.3|1%|] Basic Skill Damage
Armor: [6.6|1%|] Damage Reduction while Control Impaired
Jewelry: [11.5|1%|] Lightning Resistance
Can be inserted into equipment with sockets.
Requires Level 15

Chipped Topaz
Gem
Weapon: +[16.7|1%|] Basic Skill Damage
Armor: [8.2|1%|] Damage Reduction while Control Impaired
Jewelry: [14.3|1%|] Lightning Resistance
Can be inserted into equipment with sockets.
Requires Level 20

Topaz
Gem
Weapon: +[20|1%|] Basic Skill Damage
Armor: [9.8|1%|] Damage Reduction while Control Impaired
Jewelry: [16.9|1%|] Lightning Resistance
Can be inserted into equipment with sockets.
Requires Level 40

Flawless Topaz
Gem
Weapon: +[23.3|1%|] Basic Skill Damage
Armor: [11.4|1%|] Damage Reduction while Control Impaired
Jewelry: [19.6|1%|] Lightning Resistance
Can be inserted into equipment with sockets.
Requires Level 50

Royal Topaz
Gem
Weapon: +[26.7|1%|] Basic Skill Damage
Armor: [13|1%|] Damage Reduction while Control Impaired
Jewelry: [22.1|1%|] Lightning Resistance
Can be inserted into equipment with sockets.
Requires Level 60