Maybe a Fake Gintama - Chapter 21: The Turtle School Martial Art Was Taught by Master Mutaito, ​​and the Super Spirit Bomb Was Taught by Kaio-Sama(King Kai)!

A novel revolving around being transported to another world with an op system. The mc spends his day chasing skirts and doing missions to level up. A standard journey to the top with lots of girls from various animes and games with a twist of that gaming feel (hunting mobs, doing missions).

Wang Yi gets a key, opening a door in 2022 will lead to 1982, and opening a door in 1982 will return to 2022.

Two very different great eras appeared before him:

Abundant dietary protection, developed industrial products, miraculous medicines, and explosive information, this is 2022.

Simple folk customs, rich wild resources, scattered antiques, and treasures of the age, this is 1982.

Traveling between these two eras, Wang Yi didn’t think much of it, he just wanted to live a good life.

- Description from novelbuddy

Hope Lauren has read her share of comics. She’s seen supers around her city and even been saved by some on occasion. And she always hoped that she’d be able to join them. With Jack, her grizzled older mentor with secrets that could shake the world, and Pantheon, a new team of heroes, Hope will have to fight against monumental odds to save Oleander City. In a world of action, comedy, tragedy, and adventure, there’s plenty for a new hero to do.*Readers can expect a mostly adventure-themed superhero journey that will include a slice of life, action, and hopefully exciting world-building. It will also contain a slow-burn GL/Yuri plotline, which I'll eventually get to when I feel like it, I guess. This will be a very long story with many arcs*

The afterglow of the Middle Ages has not yet dissipated, but the best times have come.

The protagonist travels through Edward VI of the Tudor (duo) dynasty in the 16th century, centralizes power, rebuilds the parliament, and establishes the United Kingdom of Britain. It will take you to experience the most powerful dynasty in Britain, the dawn of the empire on which the sun never sets.