I haven't read much of the stories but if you like this pairing then I suggest checking out the stories by Spiderfan626.
Queen Elsa of Arendelle had been with her sister Anna, her boyfriend Kristoff, his reindeer Sven and their snowman Olaf when they discovered some sort of mirror portal in a cave, there had been a hidden map in the castle archives which had directed them to here and they had to fight the magical protections around the area. However there was a blast and Elsa had pushed them out of the way but ended up tripping and falling into it herself despite her loved ones trying to run to grab her.
She ended up in an unfamiliar place which ended up scaring her, it was late one afternoon and there were unfamiliar vehicles and weirdly dressed people around them and they were screaming in terror. There were masked people firing some weird weapons with people in blue firing back at them.
She wanted to get away but saw one of the masked people grab a child as if to hold as a hostage and she instinctively shoved him to the ground allowing the child to escape to his parents. "You are in for it now you theatre reject..." The masked person snapped aiming his weapon at her and she felt afraid again as she blasted ice at his hands covering his hands making him scream. The masked people were shocked and Elsa fearing for herself again fired back at them causing their hands to be encased in ice as well.
Elsa saw the people looking at her and fearing for the worse reaction out of them, closed her eyes but... There were clapping?
Maybe she was worried about a repeat of her coronation for nothing as she opened her eyes and was surprised to see the guys in blue coming up and telling her that they will take it from there. She was confused but decided to just let it be as she went to walk away and find out where to go from here.
Where exactly was she?
She went down a dark corner between the strange buildings and was stunned to see a man in a red and blue costume with a white spider on it; he was actually sticking to the walls like a spider and jumped down. "What are you? Some sort of circus performer?" Elsa asked wondering if this was a spider based sorcerer if not a circus performer.
"No I'm Spider-Man and I'm just your friendly neighbourhood Spider-Man. You must be new on the superhero scene here in New York." The figure said jumping down and landing on his feet surprising her and what did he mean by a Superhero?
"Well hello there Spider-Man... I'm Queen Elsa of Arendelle and did you say this place is called New York? What happened to the old York?" Elsa asked him and Spider-Man was just dumbfounded. "Do you think you can please help me? I came here through a portal and..." Elsa said and Spider-Man stopped her with a raised hand sighing saying that he knows someone that could help.
She followed him to a place called the Sanctum Sanctorum and there was a man called Doctor Stephen Strange who was apparently the local magic expert. He had explained to her surprise that the portal had sent her to another world and to her horror; it may take a while for him to be able to locate the one where she had come from but she was welcome to stay here for the meantime.
Spider-Man unmasked himself to her and said his name was actually Peter Parker and asked if she could keep it a secret and though she didn't understand at the time, she agreed to do so. And he said that he could show her around the place.
She had a lot to take in when Peter explained about how this place was ruled by a democracy and not a monarchy and how people with powers (she was stunned to learn most of it were caused by science and not magic so was it more like alchemy?) like him who went out in costumes hiding their true identities to save people and fight bad people.
So it was kind of like knights going out on crusades?
Peter explained about his powers, how he was a science person and was impressed when he explained how he actually created his web himself using his own chemicals with a machine to shoot them. He started coming over with them talking and Elsa found his dorky side charming, but when he opened up and revealed the circumstances deciding to go out and actually be Spider-Man...
Plus the distrust and easy to frame him for crimes, spurred on by news people like a J. Jonah Jameson kind of made her angry. Elsa opened up to him as well about having been born with her ice magic and how she shut herself up terrified of herself and her powers after what happened to her sister Anna.
Being reminded of her home and loved ones especially Anna with no way to get back to them anytime soon... Peter offered a comforting hug to her which she accepted and it was reversed whenever Peter was feeling down about the pressure of being Spider-Man and thinking his Uncle Ben.
Peter was showing her out on the street and so she would not draw attention to herself, they found a blue 'Just Let It Go' sweater and black jeans for her to wear with her hair down and Elsa liked the gobsmacked look on his face upon seeing her.
She ended up deciding that she wanted to help out him as Spider-Man and so with her haired tied back and in her blue dress, she was an occasional Superhero herself which had the public in awe but Jameson wasted no time in smearing her for being an ally of Spider-Man. Jameson was just lucky that this wasn't her kingdom.
Peter helped her come up with her Superhero alter ego of the Snow Queen, named after an old Danish fairy tale that Peter had heard about.
She felt herself growing closer to her and he had taken her to a theatre show of a show called Wicked, she felt like she identified with the main character and with her Defying Gravity song. Plus she sounded so much like her.
After it ended they ended up leaving the theatre with hand in hand and they shared a kiss...
3 Months Later
Peter had been asleep in his apartment, having falling asleep on his desk after finishing the touches to a new gadget he had been working on. He woke up as he heard the door open and there was Elsa with a shake of her head and a hand on her hips. "Morning beautiful." Peter said with a sly smile as Elsa forced him to his feet and looked at the state of his apartment.
"Honestly Peter, I know that you don't have servants but you really should cleanup after yourself more often..." Elsa chided her boyfriend as he picked up stuff that fell on the floor. She shook her head as she spotted the framed photo at a beach they had taken a few weeks ago.
Peter in her swimming trunks with Elsa stunned at the image of him when she first saw him at that, plus there was Elsa with her head down and her cheeks red in the silver bikini. Seriously she was stunned and scandalised upon finding out clothing like that existed here. If her subjects or Anna saw her like that...
"You really had nothing to be ashamed about, you looked stunning and I bet you made other women feel inadequate. Even with your powers, you will always be hot to me." Peter told her picking up the photo and Elsa sighing with a small smile thinking that Peter made being away from her home and loved ones a bit better.
Hopefully it will not be a permanent goodbye when Dr Strange finds a way to send her home and she could somehow come back here and bring Peter to meet everyone here. She was a monarch and he had a life here but hopefully they could make it work. She didn't doubt that her family and servants would like Peter; in fact Anna would probably start planning the wedding upon hearing that Elsa found a boyfriend.
Elsa's casual attire in this is the hair down from Frozen 2 and the clothes from Ralph Breaks the Internet, the Disney scenes of that movie were fun even if the movie itself was nowhere near as good as the original. Seriously I could go into a rant about how I don't like the ending and how despite the rules set up by the first movie: Vanellope gets away with pretty much going turbo while Ralph had to learn to accept his life for what it was in the first movie.