Blue
Ravenous Bugblatter Beast of Traal
As a bunch of other posters have said, there are multiple examples in the DMG abotu weapons and armor without bonuses - give out those and/or use them as examples to make more.
That said, if you want to keep the plus but not change the bonus to hit or AC to keep the same range:
Bonus to hit becomes rerolls. So a +1 sword rerolls any 1s your roll to hit. A +3 rerolls any 1-3.
Bonus to hit gets changes to "static magic to hit". A +1 sword could have a to hit of +6 - and you can use either your number or that +6. So either you let the magic guide it (for d20+6 only) or you guide it. This will raise the lower range a touch, but not break the higher edge of bounded accuracy.
Bonus to hit becomes expanded crit range. So no change to chance to hit, but more damage bursts.
The bonus to damage you were suggesting seems to be quite high.
With a 50/50 change to hit without a magical weapon doing say 2d6+5, you can expect 6 points of damage per attack.
A base game +3 weapon will make it 65% chance to hit doing 2d6+8, giving an expected of 9.75 damage per attack.
With your proposed damage it will keep it 50/50 to hit, but doing either 2d6+3d8 (avg 20.5) or 8d6 (avg 28) for expected damage of 10.25 (not bad) or 14 (a lot more) per hit.
And that assume 50/50 - characters with archery style, with Bless on them, or other methods to hit more will get more mileage from the extra damage. Also since it's a die it would be increased by crits unlike a static number, so those who crit more often like champion or barbarians (because of advantage) will also get more utility out of it.
That said, if you want to keep the plus but not change the bonus to hit or AC to keep the same range:
Bonus to hit becomes rerolls. So a +1 sword rerolls any 1s your roll to hit. A +3 rerolls any 1-3.
Bonus to hit gets changes to "static magic to hit". A +1 sword could have a to hit of +6 - and you can use either your number or that +6. So either you let the magic guide it (for d20+6 only) or you guide it. This will raise the lower range a touch, but not break the higher edge of bounded accuracy.
Bonus to hit becomes expanded crit range. So no change to chance to hit, but more damage bursts.
The bonus to damage you were suggesting seems to be quite high.
With a 50/50 change to hit without a magical weapon doing say 2d6+5, you can expect 6 points of damage per attack.
A base game +3 weapon will make it 65% chance to hit doing 2d6+8, giving an expected of 9.75 damage per attack.
With your proposed damage it will keep it 50/50 to hit, but doing either 2d6+3d8 (avg 20.5) or 8d6 (avg 28) for expected damage of 10.25 (not bad) or 14 (a lot more) per hit.
And that assume 50/50 - characters with archery style, with Bless on them, or other methods to hit more will get more mileage from the extra damage. Also since it's a die it would be increased by crits unlike a static number, so those who crit more often like champion or barbarians (because of advantage) will also get more utility out of it.