Create a Draconic Sorcerer X/Barbarian 1 with starting Con and Dex scores of 16 (assuming a human variant).
Every time you get to increase an ability score, increase Con and Dex until they reach 20.
Final AC: 10 + 5 (Dex) + 5 (Con) + 2 (shield) = 22
Since you are a X level sorcerer you also have a great supply of Shield spells (AC 27).
Congratulations, you now have someone that a Balor (still) has trouble hitting (after all the edits)!
Edit: If you add Haste to the mix, max AC becomes 29!!
Without magic you can get to 24 on a Barbarian con dex max +shield =22 once you reach 20 level Barb you get 24 con jumping you to 24 AC
1 Level barbarian then blade singer can get you to 20 +5 =25 (no shield) + Shield spell should get you to 30 same with MonkBS dex wisdom int max =25 + shield spell
Also get to 30 with Barb 20 + Shield defensive Duelist feat finesse weapon +6
Next one 1 level Barb or monk + BS plus Defensive Duelist feat + finesse weapon at 17th level add +6 proficiency bonus 31
There are more I am sure I am missing
Easier to do in non point buy with good dice roles
I also forgot to add if you have a friendly cleric + 2 shield of faith stacked on top bumps all those up
Yes it can get crazy stupid but some of it is not so easy to make happen
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