Ah yes, nothing says "Wizard" more than tossing around Cure Wounds and summoning Spiritual Guardians /s
spiritual guardians, aberrations, demons, just summons by another skin. Mostly flavor.
Also, now 1 level of Life cleric gives wizard heavy armor and most of the healing you will every need.
Bard is an arcane caster, and it still gets most healing spells to it's arcane spell list. nothing divine on those spells I guess.
IF you limit spells known to current sorcerer level and add 2 spells per levels 1-5 depending on subclass, you could have balanced caster with access to all spells.
example of subclasses and their spell choices:
Healer;
cantrips; resistance, spare the dying
level 1; cure wounds, healing word
level 2; lesser restoration, healing spirit
level 3; mass healing word, revivify
level 4; Aura of light, death ward
level 5; mass cure wound, raise dead
Necromancer;
cantrips; chill touch, toll the dead
level 1; false life, inflict wounds
level 2; blindness/deafness, ray of enfeeblement
level 3; animate dead, summon undead
level 4; blight, shadow of moil
level 5; dance macabre, enervation
Kineticist;
cantrips; eldritch blast, mage hand
level 1; magic missile, shield
level 2; levitate, kinetic jaunt
level 3; fly, haste
level 4; Mordekainen's faithful hound, Otiluke's resilient sphere
level 5; animate objects, telekinesis
Traveler;
cantrips; guidance, mage hand
level 1; expeditious retreat, longstrider
level 2; misty step, vortex warp
level 3; thunder step, gaseous form
level 4; dimension door, find greater steed
level 5; passwall, teleportation circle
Greenseer;
cantrips; primal savagery, thorn whip
level 1; entangle, fog cloud
level 2; spike growth, pass without trace
level 3; plant growth, summon fey
level 4; guardian of nature, summon elemental
level 5; insect plague, wrath of nature
Pyromancer;
cantrips; firebolt, greenflame blade
level 1; burning hands, hellish rebuke
level 2; scorching ray, heat metal
level 3; fireball, ashardalon's stride
level 4; fireshield(fire), summon elemental(fire)
level 5; immolation, summon draconic spirit(fire)
Mindbender:
cantrips; friends, mind sliver
level 1; charm person, dissonant whispers
level 2; hold person, suggestion
level 3; enemies abound, fear
level 4; charm monster, phantasmal killer
level 5; dominate person, modify memory
Illusionist;
cantrips; message, minor image
level 1; disguise self, minor image
level 2; invisibility, mirror image
level 3; hypnotic patter, major image
level 4; greater invisibility, hallucinatory terrain
level 5; dream, seeming
Defender;
cantrips; bladeward, sword burst
level 1; absorb elements, armor of agathys
level 2; aid, blur
level 3; counterspell, dispel magic
level 4; banishment, freedom of movement
level 5; bigbies hand, dispel good and evil