The exclusion of any mention of magical weapons isn't accidental, Barbarians are resistant to bludgeoning, piercing, and slashing damage whether it's magical or otherwise as it's key to their ability to have staying power on the front line. By comparison, the Heavy Armor Mastery feat makes the clear distinction for magic weapons, therefore, it's not unreasonable that the design intent is on purpose.
This is important because otherwise the Barbarian would experience a huge drop off in survivability as the game progressed passed a certain tier when a lot of enemies' weapons are being described as inherently magical.
The Sleep spell might work
If you are asleep, you are unconscious. If you are unconscious, you are incapacitated. (Conditions, App. A, PHB, p. 292). If you are incapacitated, you cannot concentrate.
• Being incapacitated or killed. You lose concentration on a spell if you are incapacitated or if you die. (Basic Rules, p. 80/PHB. p. 203)
The trick is to push/shove/drag the creature away from any other creature (20' or more away) if it is near other creatures (including your party), and then cast sleep at as high a level as one can.
One way to do that is cast a bunch of Eldritch Blasts with the
Repelling Blast invocation, that hit (no damage, but target shoved or
moved for each blast that hits).
Have your Barbarian grapple, Shove/drag/pull the target, and hope that the Barbarian has more HP than the target.
At that point, cast sleep at as high a level as one can. Roll 5d8, and an additional 2d8 for every spell level expended above 1. Let's use a 5th level sleep to illustrate.
Roll 5d8 + 8d8 = 13d8 which is an average of 58.5 HP. (At 7th level, 76.5).
Depending on how you roll and how much damage the target had already taken before it put up invulnerability, problem solved. If not, it was worth a try.
- The usual caveat about not being able to put to sleep undead, or
creatures immune to that condition, applies.
- The reason that I made the estimate that the target needs to have
already taken some damage is that this is a 9th level spell, so the
HP of whomever is casting it is presumed to be substantial.
At higher levels, Power Word Stun
If you have access to 8th level spells, a successful Power Word Stun will incapacitate a creature. That solves the problem.
Paralysis / poison, or using a magic item, etc
Depending upon what you have available to you, anything that can inflict the paralyzed condition incapacitates the target. Various poisons can incapacitate or poison a target: Torpor(incapacitates), Essence of Ether (renders unconscious), Oil of Taggit (renders unconscious, Crawler Mucus (paralyzed). A Wand of paralysis will, if the Con save is missed, achieve that aim.
Get a Monk Involved
Even though the attack will do 0 damage, a monk attacking with Stunning Strike will stun the target. Once stunned it is incapacitated and Bob's your uncle.
PHB p. 79 (Stunning Strike)
When you hit another creature with a melee weapon attack, you can
spend 1 ki point to attempt a stunning strike. The target must
succeed on a Constitution saving throw, or be stunned until the end of
your next turn.
I am pretty sure that a Sorcerer's Empower metamagic won't allow the HP amount to be boosted when casting the sleep spell (by re-rolling low numbers), so I asked a question about that.
Best Answer
Yes, Demon Lords
In the recently released Mordenkainen's Tome of Foes, there are several extremely powerful enemies. Amongst them are the Demon Lords, creatures of near-deity level power. An example of this is the Demogorgon found on page 144. Amongst their damage immunities, demon lords have the following immunity (bold added):
Note that this is in contrast to the similar resistance or immunity that other creatures have to:
And note that, as stated in the PHB on page 183 (bold added):
Thus, if the Demogorgon was somehow subjected to a fall, it would take no damage, since the bludgeoning damage from a fall "is nonmagical."