Run 'Verse by beckalooby
http://beckalooby.livejournal.com/30878.html
No one likes Jared because he’s different, he runs away from the scary world before it can catch up and hurt him more than it already has. One day he meets a man who gets him to slow down.

Where the Love Light Beams by myficjournal and saklani2
http://saklani2.livejournal.com/115839.html
Jared is a man without a home, just searching for a place to spend a cold night. Jensen is a farmer, living alone after losing his long-time partner. But when they meet one December day, they may have each found the best possible gift for Christmas.

The coat we wear by karfraegh
http://www.sinful-desire.org/archive/viewstory.php?sid=3030
sequel:http://www.sinful-desire.org/archive/viewstory.php?sid=3199&warning=5
Christmas 1998 and Jared has run from a family who hate him for what he is, to the city. He is homeless, desperate and on Christmas Eve starts to make his way home, never making it, hit by a car and left to die in the gutter. When a drug and alcohol fueled Jensen Ackles knocks down a homeless guy he panics and runs, knowing he has murdered, but hides, protected by money and privelage. Ten years later Jensen is forced into searching for reasons, for purpose, for redemption and he may just have found it in a badly scarred youth worker, only known as Jay.

Folie à Deux by cyndrarae
http://cyndrarae.livejournal.com/98563.html
A neurotic, self-absorbed painter unable to resist the lure of a certain pair of magnetic eyes, and an accidental muse with a dark, mysterious past that just wouldn’t leave him alone. Who is Tristan Winslow really? And why is Jensen Ackles so hell-bent on repeating the mistake that once nearly cost him his life?

Tilted 'verse by thehighwaywoman
http://thehighwaywoman.livejournal.com/tag/tilted
Wandering vagabond Jared arrives in town for a temporary job rebuilding broken-down beach houses and is baffled by the reclusive nature of his downstairs neighbor Jensen. He doesn't know what kind of secrets Jensen is keeping, but he plans to get to know the man better in every way he can. Features confusion, angst, Chris Kane's Fists of Fury, a yellow Labrador, secrets, and broken!Jensen.

Someone Saved My Life Tonight by annie_46
http://community.livejournal.com/annie_46fic/16139.html
Sometimes all it needs is one act of kindness. When tired Doctor Jensen Ackles meets a mysterious drug addict, he is suddenly drawn into a world he can no longer understand.

Mirror, Mirror by candygramme
http://candygramme.livejournal.com/137801.html
Jensen Ackles is a well-respected photographer, courted by the media and the shiny people of Tinseltown. Sadly, he's getting bored with success and beginning to become self destructive. In an attempt to break Jensen out of his ennui, his friend, Steve Carlson, offers him a challenge. "Take the first person we meet when we leave the party and make them into a star before the year is over..."

Also, karfraegh had another wonderful homeless!Jared fic called "The Christmas Miracle" that was reworked as an original novel, "The Christmas Throwaway", that I'm sure you would love to pieces too:
https://www.allromanceebooks.com/product-thechristmasthrowaway-493354-145.html

Shocked here. I've only read one of these! Thank you sooooo much! :D

Heh, I think it shows homeless!Jared is one of my favourite tropes! Enjoy! ;)