I wonder what it would look like if you just gave Artificers cross-list access to Abjuration, Conjuration, Evocation, and Transmutation?
Okay, I went ahead and put this into a single list.
Lvl Spell School Ritual
0 Acid Splash Conjuration No
0 Blade Ward Abjuration No
0 Druidcraft Transmut. No
0 Fire Bolt Evocation No
0 Light Evocation No
0 Mage Hand Conjuration No
0 Mending Transmut. No
0 Message Transmut. No
0 Poison Spray Conjuration No
0 Prestidigitation Transmut. No
0 Produce Flame Evocation* No
0 Ray of Frost Evocation No
0 Resistance Abjuration No
0 Sacred Flame Evocation No
0 Shillelagh Transmut. No
0 Shocking Grasp Evocation No
0 Thaumaturgy Transmut. No
0 Thorn Whip Transmut. No
1 Alarm Abjuration Yes
1 Armor of Agathys Abjuration No
1 Arms of Hadar Conjuration No
1 Burning Hands Evocation No
1 Chromatic Orb Evocation No
1 Create or Destroy Water Transmut. No
1 Cure Wounds Abjuration* No
1 Divine Favor Evocation No
1 Ensnaring Strike Conjuration No
1 Entangle Conjuration No
1 Expeditious Retreat Transmut. No
1 Faerie Fire Evocation No
1 Feather Fall Transmut. No
1 Find Familiar Conjuration Yes
1 Fog Cloud Conjuration No
1 Goodberry Transmut. No
1 Grease Conjuration No
1 Guiding Bolt Evocation No
1 Hail of Thorns Conjuration No
1 Healing Word Abjuration* No
1 Hellish Rebuke Evocation No
1 Jump Transmut. No
1 Longstrider Transmut. No
1 Mage Armor Abjuration No
1 Magic Missile Evocation No
1 Protection from Evil and Good Abjuration No
1 Purify Food and Drink Transmut. Yes
1 Sanctuary Abjuration No
1 Shield Abjuration No
1 Searing Smite Evocation No
1 Shield of Faith Abjuration No
1 Tenser’s Floating Disk Conjuration Yes
1 Thunderous Smite Evocation No
1 Thunderwave Transmut.* No
1 Unseen Servant Conjuration Yes
1 Witch Bolt Evocation No
1 Wrathful Smite Evocation No
2 Aid Abjuration No
2 Alter Self Transmut. No
2 Arcane Lock Abjuration No
2 Barkskin Transmut. No
2 Blindness/Deafness Transmut.* No
2 Branding Smite Evocation No
2 Cloud of Daggers Conjuration No
2 Continual Flame Evocation No
2 Cordon of Arrows Transmut. No
2 Darkness Evocation No
2 Darkvision Transmut. No
2 Enhance Ability Transmut. No
2 Enlarge/Reduce Transmut. No
2 Find Steed Conjuration No
2 Flame Blade Evocation No
2 Flaming Sphere Evocation* No
2 Gust of Wind Evocation No
2 Heat Metal Transmut. No
2 Knock Transmut. No
2 Lesser Restoration Abjuration No
2 Levitate Transmut. No
2 Magic Weapon Transmut. No
2 Melf’s Acid Arrow Evocation No
2 Misty Step Conjuration No
2 Moonbeam Evocation No
2 Pass without Trace Abjuration No
2 Prayer of Healing Abjuration* No
2 Protection from Poison Abjuration No
2 Rope Trick Transmut. No
2 Scorching Ray Evocation No
2 Shatter Transmut.* No
2 Spider Climb Transmut. No
2 Spike Growth Transmut. No
2 Spiritual Weapon Evocation No
2 Warding Bond Abjuration No
2 Web Conjuration No
3 Aura of Vitality Abjuration* No
3 Beacon of Hope Abjuration No
3 Blinding Smite Evocation No
3 Blink Transmut. No
3 Call Lightning Conjuration No
3 Conjure Animals Conjuration No
3 Conjure Barrage Conjuration No
3 Counterspell Abjuration No
3 Create Food and Water Conjuration No
3 Crusader’s Mantle Evocation No
3 Daylight Evocation No
3 Dispel Magic Abjuration No
3 Elemental Weapon Transmut. No
3 Fireball Evocation No
3 Fly Transmut. No
3 Gaseous Form Transmut. No
3 Glyph of Warding Abjuration No
3 Haste Transmut. No
3 Hunger of Hadar Conjuration No
3 Leomund’s Tiny Hut Evocation Yes
3 Lightning Arrow Transmut. No
3 Lightning Bolt Evocation No
3 Magic Circle Abjuration No
3 Mass Healing Word Abjuration* No
3 Meld into Stone Transmut. Yes
3 Nondetection Abjuration No
3 Plant Growth Transmut. No
3 Protection from Energy Abjuration No
3 Remove Curse Abjuration No
3 Sleet Storm Conjuration No
3 Slow Transmut. No
3 Speak with Plants Transmut. No
3 Spirit Guardians Conjuration No
3 Stinking Cloud Conjuration No
3 Water Breathing Transmut. Yes
3 Water Walk Transmut. Yes
3 Wind Wall Evocation No
4 Aura of Life Abjuration No
4 Aura of Purity Abjuration No
4 Banishment Abjuration No
4 Conjure Minor Elementals Conjuration No
4 Conjure Woodland Beings Conjuration No
4 Control Water Transmut. No
4 Death Ward Abjuration No
4 Dimension Door Conjuration No
4 Evard’s Black Tentacles Conjuration No
4 Fabricate Transmut. No
4 Fire Shield Evocation No
4 Freedom of Movement Abjuration No
4 Giant Insect Transmut. No
4 Grasping Vine Conjuration No
4 Guardian of Faith Abjuration No
4 Ice Storm Evocation No
4 Leomund’s Secret Chest Conjuration No
4 Mordenkainen’s Faithful Hound Conjuration No
4 Mordenkainen’s Private Sanctum Abjuration No
4 Otiluke’s Resilient Sphere Evocation No
4 Polymorph Transmut. No
4 Staggering Smite Evocation No
4 Stone Shape Transmut. No
4 Stoneskin Transmut.* No
4 Wall of Fire Evocation No
5 Animate Objects Transmut. No
5 Antilife Shell Abjuration No
5 Awaken Transmut. No
5 Banishing Smite Abjuration No
5 Bigby’s Hand Evocation No
5 Circle of Power Abjuration No
5 Cloudkill Conjuration No
5 Cone of Cold Evocation No
5 Conjure Elemental Conjuration No
5 Conjure Volley Conjuration No
5 Destructive Wave Evocation No
5 Dispel Evil and Good Abjuration No
5 Flame Strike Evocation No
5 Greater Restoration Abjuration No
5 Hallow Abjuration* No
5 Insect Plague Conjuration No
5 Mass Cure Wounds Abjuration* No
5 Passwall Transmut. No
5 Planar Binding Abjuration No
5 Swift Quiver Transmut. No
5 Telekinesis Transmut. No
5 Teleportation Circle Conjuration No
5 Tree Stride Conjuration No
5 Wall of Force Evocation No
5 Wall of Stone Evocation No