The rules allow you to administer a healing potion or give some other kind of magical healing to a dying character and bring them back to life (skipping the unconsciousness of stabilizing them). Can you also do this with Goodberry?
Yes, the Goodberry falls under the "other kind of magical healing" you listed.
K-Ray
We have a ranger in our group who does this by putting the berry in the unconscious character's mouth and then moves their jaw up and down to simulate chewing.
I'd suggest making a goodberry smoothie prior to combat and pouring it in when necessary. 
Either method works, its totally upto your DM if he wants to go into that much detail with the situation. Depending such factors of combat or not, it could be interesting.
El_Condoro wrote:
I'd allow it, but the players would have to LARP it out with a grape.
ad_hocNC wrote:
I think they chew it up and spit it into the other PC's mouth, like they were a baby bird.
They don't have to do it for it to work, but to imply that's how it works would be hilarious...
ad_hocNC wrote:
I don't think that would work based on the spell as written. The goodberry spell says a creature can use an action to eat a goodberry. Unconscious characters can't use actions so they can't technically eat a goodberry. However, I would probably rule that if the person giving the goodberry used their action to administer it then it would work.