That still leaves me worried about your subclassed Rogue/Wizard outclassing the standard Arcane Trickster.The Rogue/Wizard is not an Arcane Trickster. It gives up the Mage Hand gimmick for access to an Arcane Tradition. You could have a Rogue/Necromancer, or Rogue/Evoker, or Rogue/Conjurer, etc.
One of the problems with the way that multi-classing has worked since 3e came out has been that it encourages optimizers to dip into classes for front-loaded benefits without the character making any meaningful commitment to the class.
I miss the old days of characters starting out with multiple classes, like the: Cleric/Magic-User, Fighter/Cleric, Magic-User/Thief, Fighter/Thief, etc.
While dreaming up character concepts for 5e I found myself yearning for the ability to create a Sacred Fist (Monk/Cleric) that wasn't so watered-down as to be useless. One of the things I like about 5e is that the Players' Handbook came with a solution to this baked into the system. By using the Eldritch Knight and Arcane Trickster as inspiration I have created numerous multi-class options that replace the standard sub-classes.
I am interested in hearing any feedback or constructive criticism. I did not include options for Clerics because the Domains are vital to a Cleric and give enough options to cover many options. I left out Paladins because they should be focused on fulfilling their Oaths. Warlocks are left out because they need a Patron to make sense, and Sorcerers because they need their Origin.
If you're going to present this as fact as opposed to opinion, an you please provide some collaborating evidence.
Most of your other expectations are outside of the scope of my original intention.
I miss the old days of characters starting out with multiple classes, like the: Cleric/Magic-User, Fighter/Cleric, Magic-User/Thief, Fighter/Thief, etc.
By using the Eldritch Knight and Arcane Trickster as inspiration I have created numerous multi-class options that replace the standard sub-classes.
Wizard (Full Caster, spell-casting classes just add to spell list, not the total spell slots available)
Wizard/ Cleric
2nd- Spellcasting Focus (Divine), Religion Skill
6th- Channel Divinity, Domain (all 1stand 2ndlevel Domain benefits)
10th- Domain (6thlevel benefits)
14th- Domain (8thlevel benefits), Destroy Undead (½ CR)

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.