The Broken Doctor - The poor, broken, twisted Doctor of the universe she accidentally fell into. At first she pitied his loneliness and his madness, but as she got to know him and found how very similar they were, he became one of her closest friends. She looked after him a bit like a younger brother. One day, he got into his TARDIS and left, looking for another universe to start over in. She doesn't ever expect to see him again.
The Broken Master - The strange, happy-go-lucky broken Master, whom the Broken Doctor loved. She was fond of him, and the feeling seemed to be mutual. Occasionally they got up to ridiculous hijinks together. He left with the Broken Doctor to find his fortune.
Professor David McDonald - When she met the Scottish professor, she initially thought the Doctor was doing some sort of undercover work. When she discovered he was an entirely different person, she was intrigued. For various reasons they kept running into each other, and she grew a bit fond of the shy, innocent Scotsman. And then he died. As it turned out, he really was the Doctor under cover. So deep under cover he fabricated an entire person to hide himself. Through a trick of genetics and medicine, he came back just long enough to take her out on a date and promise one he wouldn't deliver.
An excruciating amount of time passed in which he swapped between the Doctor and David, at first unaware of the changing, and then despondent, as each outing might be his last. Rose took it upon herself to help this innocent person dragged into Time Lord politics...and ended up falling for the professor for her trouble.
One day, he was gone forever. Just like that.
She still loves him.
The Doctor David - The Doctor David became. She once resented him for that, but she's always been a little bit attached to him, because everything that makes up David is still scattered through his personality. When he left, they shared a kiss and a tearful goodbye...but it's still David who she misses the most.
Elle Bishop - From her own universe. She used to travel with Elle, and so she still considers Elle a trusted companion of hers, but she doesn't seem to have any interest in taking Elle along again. Perhaps because she's chosen to distance herself from those close to her.
Eleventh Metacrisis - She's not sure what to think of this Metacrisis. Who is technically half of her, with all of her thoughts and memories. A part of her looks at him as a replacement for the Eleven who went back home that she'd looked up to. She tends to downplay and harass him for the most part, but she trusts him.
The Ghostly Master - He reminds her a bit of the Broken Master, but he's broken in a different way. Much as she looked the other way for the Red Trio's rampaging, she tends not to be overly perturbed by his danger to society. Instead, she works to try to fix him so he won't need to be one any longer.
Handy Metacrisis - She considers him one of her closer existing friends, and is really quite fond of him. He's many of the things she liked about the Doctor in the past, but without the same feeling of innate authority. Perhaps because she's the one with the TARDIS. While she might occasionally flirt with (or not mind being flirted at by) him, her feelings for him are entirely platonic. Romantic entanglements don't work out well for her.
Helen Magnus - One of her oldest--physically and chronologically--friends. She took Helen out to see the universe when Helen was a child, and of all her other friends, Helen is among the very few who will live just as long as she will.
Ianto Jones - She trusts him completely, and considers him a very close friend. There is the unrealized potential for romantic feelings there, but it's been somewhat traumatized and halted by all of her other experiences in love (which end catastrophically)
The Lost Doctor - The Doctor Who Almost Was. She met him battered and wounded on the street, and mistook his greatly similar universe for her own. At first things were wonderful, she'd found her Doctor against all odds, and he was willing to be everything she wanted and accept her for everything she was.
And then things went pear-shaped. Their relationship degraded and derailed into fits of rage and insecurity and jealousy. Everything she'd hoped for fell apart into everything she'd feared, and the reality of it broke something in her spirit that's never been healed.
After a messy break up and a hijacking of the TARDIS by the Doctor, it was finally revealed that, despite the incredible similarity in their worlds, they were not a matching set of Rose and Doctor. The damage, of course, was already done.
But there might have been more to him than he let on.
New York Doctor - The mad Doctor of a universe completely absorbed by the broken one. She pities his madness, and is fond of how very little threat he provides to her. She tries to look after him when she can...but she's drifted away recently.
New York Jack - The Jack of the universe completely absorbed by the broken one. He managed to save his team and she's glad for that, but their relationship has been rocky. She considers him a friend overall, but she's not gone out of her way recently to see him.
That Kind Eleven - Eleven met Rose during one of her particularly bad times. She'd lost faith in Doctors, been essentially stranded, and David had just 'died'. The first time. She was not in a good place, and then he showed up. And he was obnoxious and pushy and reckless and normal. He was the Doctor when she felt there were no others.
He accepted her and supported her and let her be that...something between Rose and a Doctor that she's found herself at, without trying to force her to be anything else. And he had no trouble reminding her when she needed it. More than that, since she lost her Doctor, she'd built up an ideal of exactly who the Doctor was, and how he'd act and how she needed to live up to, and he was very nearly that.
She never told him everything about her, because she was afraid he'd reject her if she did, but she was comfortable and normal around him. She was healthy, and he pushed her toward being a better person despite the madness of the universe. He treated her, most times, like an equal or a teammate, and she appreciated that greatly. He gave her confidence in her role as a TARDIS pilot.
In the end, however, to protect his universe from the effects of the broken one, he too left, and sealed himself away in a parallel world.
Theta - He was the first metacrisis and the first twisted variation of a person she'd met. He was psychotic, violent, and deadly...but never to her. He hated to be mistaken for the Doctor, hated to be touched, and despised Roses...but they worked out a friendship anyway. Her presence seemed to soothe him (or so she liked to think) and his brought a comfort to her. They were cynical and practical, and for her birthday he made her a K-9. (Though he's forgotten)
She felt a kinship in his dark misfit status, and considered him one of her best mates. He was among the three in the deadly red TARDIS, with the broken Doctor and Master, and she was happy to see them happy. She stood up for him no matter who spoke out against him.
One day he simply vanished. At first she thought one of his enemies had him, then that he'd simply left. What she was told was that when David was sealed away, Theta's time line unraveled, and he simply never existed at all. As it turns out, she was lied to. Again. He'd left for awhile and was perfectly (relatively) safe the whole time.
Scott Jack - An associate of David who turned out to be a Jack in disguise. He brings up too many memories she doesn't want to linger over to associate with him often...but he does owe her a date some day.
Shopgirl Rose - A Rose from a universe where the Bad Wolf changed her and her Doctor rejected her outright. There's a kinship in that which Rose feels for the other, and she sees her as a bit of a younger sister for that.
It's been so long since she's heard of her, however, that she imagines the other Rose has found her way to another universe somewhere.