40 minutes ago in The Doctor's time stream.

After laying down some amazing back vocals for an album set to release in 2027, the Doctor felt it was time for another ride in the TARDIS. It was better than standing around in a sound-proof recording room any day. As he headed to the exit of Blue Muse (A major record company that was established in 2025) he passed by the security guard. "Another album ready to go, Mr. Smith?"
The Doctor looked at him with a smile. "You bet, Alonso!" He pulled a CD cover from his jacket pocket and gave it to Alonso. "Here it is, 'The Theory of Time'! Not due to release for three months, yours for your hearing pleasure!"
Alonso grabbed it and thanked the Doctor. He was a big fan of John Smith. The Doctor smiled and put a fingers to his lips, signalling that this be kept a secret.
"So, John," said Alonso, "Can you say it again?"
"Which one?" asked The Doctor.
"The bow tie one."
"Oh, yes." He cleared his throat. "I wear bow ties, 'cause bow ties are cool."
Alonso let out a fanboy squeal. "Thanks John! Hopefully we'll bump into each other soon!"
"Yes." Said the Doctor as he was heading out the door. "Soon!" He exited the building and went to his TARDIS which he parked across the street. Sadness was swelling inside him. That was the last time he would see Alonso, because at 6pm, he will be shot when there's a break-in at the studio. Of course, the Doctor stopped the robbers and scared them away (It was in the past of his time stream), but he was a too late to save Alonso, and crossing his own personal time stream is far too dangerous. Alonso will be missed greatly.
The Doctor reached the blue police box and pulled out the key, opened the door and entered the vast interior of the last TARDIS in the universe, his TARDIS. The one that he claims to have stolen, until he met the soul of the TARDIS and she told him that it was the other way around, that she stole him.
One flick of the switch and the engines burst with life, but it was different this time. She seemed to be... eager. The Doctor felt excited for this. She had a surprise for him. He touched the central engine, "Take me wherever you want, you sexy thing you." He pulled the turned off the parking brakes and off she went, into the Time Vortex.
It was a pretty bumpy ride, but they finally landed. Then everything in the TARDIS turned off, almost as if the power had been cut. The Doctor went to the control and tried to turn the TARDIS back on. Nothing, not even a little hum. The Doctor concluded that one of two things may have happened. One, the soul of the TARDIS has left, hopefully to be in person and talk to him. He would love that. Two, like that time with Rose and Mickey, he landed in a parallel universe.
It was improbable though! Unless... he did remember the scanners showing an opening in the Void. He was going to fix it, after he did a few other things. The only way to find out was to go out and see.
The Doctor flattened out his tweed jacket, licked his right hand and fixed his hair with it, then went to a mirror to straighten out his satin red bow tie. No harm in being handsome and cool.
After he finished, he headed to the exit, and slowly pulled it open. It was quiet and dark, most likely night. He stepped out, closed the door and locked it. He then looked around. He was in an alleyway. He had landed in across the street from a large museum.
The Doctor walked towards the road and studied everything around him. It looked like a somewhat normal street from earth. Maybe he is in a parallel world. The Doctor ran back into his TARDIS, opened a grate near the control panel and rummaged through the wires until he found it, the crystal the size of his thumb. Usually, it'd be glowing with power, now, it's dead and cold, like a rock.
The Doctor sat back with the crystal in his hands. He had no way of going back or going anywhere without this crystal powering the TARDIS. Unless…
The Doctor pulled out his sonic screwdriver and buzzed it at the crystal. It wasn't too late to get energy readings. According to his screwdriver, he needed a lot of alien radioactivity. Hopefully this universe had a lot of alien rocks to choose from. Quickly, he got up and exited the TARDIS, locked it, then set his screwdriver on "search" mode.
He spun around slowly as his screwdriver buzzed at different frequencies until it was high pitched. There was something he could use to power his TARDIS. He looked up to see where he was pointing his screwdriver. The museum.
The Doctor crossed the street and look at the plaque next to the door. It read:

GOTHAM CITY MUSEUM OF SCIENCE AND HISTORY

HOURS

7AM-8PM MON-SAT

10AM-6PM SUN

The Doctor checked his watch. It was Wednesday, 4am. The museum was closed. He went around to the back, found a door with a sign saying "Employees Only", unlocked the door with his screwdriver and went inside. He wandered around the hallways a bit, being guided by his screwdriver, and opened a door into an exhibit full of wax figures.
He went down the aisle in front of him which, halfway, led to the center of the room. He spun around, scanning with his screwdriver. He was close, but in the wrong room.
He headed to the hallway to go to the next exhibit over, then stopped. He took a few steps back and looked towards his left. Sitting, on top of a wax figures head, was a red fez. The Doctor couldn't help himself. He had bought one recently but accidentally lost it while he was battling the Sontarians.
He slowly went up to the figure and carefully pulled the fez off. There wasn't any alarm. The Doctor was relieved and put the fez on his head and continued to find an energy source.
He reached the hallway and turned right, then reached the meteorite exhibit. The sonic indicated that the energy source is in there. He walked around, letting the sonic guide him until he reached the one exhibit.
The Doctor bent over to read the plaque:

Kryptonite, from the planet Krypton, Superman's birthplace. Provided by Wayne Enterprises.

Superman? The Doctor made a sudden realization that he really was in a parallel universe, a universe that superheroes exist. He tried to remember the name of the museum to figure out what city he's in, but his memory failed him. He decided that he needed to work fast, or he might be mistaken for a thief. Well, he is kind of being a thief by stealing the kryptonite, but no need for specifics.
He set his sonic screwdriver to different frequencies, each one higher than the last, until-
KRK-K-K-K-CRASH! Part of the glass shattered, giving the Doctor enough room to pull out the kryptonite, but before he could finish his task, there was a deep voice from behind him.
"Excuse me." It said.
The Doctor turned around, and standing 10 feet away, was Batman. The Doctor could feel the butterflies in his stomach. He'd take punch from Superman than a stand-off from Batman. The Doctor could see from his distance that Batman thought he looked goofy. Must be his futuristic shoes. He never liked them. Too goofy looking.
"Who are you?" Asked Batman, "A new super villain?"
"No," replied the Doctor, "I'm one of the good guys. You can call me the Doctor"
"The Doctor?"
"Hello!" Replied the Doctor with a grin. He felt like he was going to be sick.
Batman approached him slowly, being ready for any evasive maneuvers. To the Doctor, he looked like a gliding shadow. He stopped at 5 feet away. "What do you think you're doing?"
"Oh, yes, this," said the Doctor, gesturing to the kryptonite in the broken case, "Long story. Went for a flight, TARDIS breaks down, open the door, came here, this," he turned around and picked up the kryptonite and faced back to Batman, "This is my new battery."
Batman was thinking that this man must have either escaped from Arkham, or needs to be a new inmate.
The Doctor turned around. "Sorry about the mess. I could clean it up if you'd like."
Batman was watching the Doctor's movements carefully. He could tell that the Doctor was nervous. Then suddenly, something cold touch Batman at the bottom on the back of his Doctor started to turn back to face Batman. "So, yeah, if you have a broom and pan, that'd be gre-." He stopped. Batman was no longer there. Instead, standing
in his place, was a statue of an angel with it's right arm outstretched, reaching towards the Doctor.