Well, this is just a story I wrote because I had a lot of Doctor Who and Avengers feels. If you can't tell, this takes place after Captain America: The First Avenger, but before the Avengers for Cap and after The Angels Take Manhattan but before the Snowmen for the Doctor.
"How do you do it Doctor? How do you stay sane when you have lost everything?" Steve Rogers asked.
The Doctor smiled sadly. "Do you really call this sane? Sitting on a cloud inside an old, blue box, separate from the rest of the world."
"It's not really any better than spending days trying to figure out how the world works and spending sleepless nights hitting punching bags until they fly across the room and break."
"I used to keep moving, try not to focus on the past. But too many people are gone. All of my friends, my family, gone. There was even a girl once, that I loved, but I never told her and now she's gone." The Doctor said, a tear slowly making its way down his face until he wiped it away.
"I had a date. Then, my plane crashed and I fell asleep for seventy years. None of my friends even knew I was still alive. They all thought I was dead, most likely. Everyone I knew is gone and I'm stuck here, alone and a little confused." Steve said, sitting down on the steps.
The Doctor sat down next to him. He thought for a moment, before he spoke. "I suppose if you want, you could stay here. There's plenty of room, and you could avoid having to deal with the modern world much. There is a gym too, somewhere around here."
"Sure, I'd like that." Steve said. He was actually kinda looking forward to not being completely alone anymore.
"Don't expect anything fancy. No travel or anything. Just a simple home away from the world. I live up here and occasionally go down to get things." The doctor tossed Steve a key. "That's the key for the door. Don't lose it. You can come and go as you please, just try not to draw attention to the pull down ladder."
The Doctor then pointed Steve to one of the hallways before pulling out a book and settling in to read for a while, putting on a pair of reading glasses as he did so.
This may become a multi-chapter story, if I feel like it or you ask nicely (or review). I hope it's good. I posted it right after I wrote it (although I did do a spelling and grammar check) so it didn't get revised very much. I was kinda trying to put more raw emotions in, instead of perfect words. As usual, I apologize for any OOCness.