I don’t think I’ve seen a single isekai protag try to go back to Earth unless you count the “trapped in VR” ones.
It used to be the standard:
Digimon Adventure (the first series)/Digimon frontier (fourth series)
Inu Yasha
Monster Rancher
The only recent example I can think of is Zenshu from last year.
The intrigue is from how a person from a modern nonmagical culture interacts with a medieval magical culture.
Welcome to Japan Ms. Elf might be up your alley: a guy finds out his lucid dreams have actually been him getting isekei’d every night for most of his life when he accidentally brings a friend/love interest back with him. She’s fascinated by modern Japan so they start going back and forth between the real world and magical world together.
It used to be the standard:
The only recent example I can think of is Zenshu from last year.
Welcome to Japan Ms. Elf might be up your alley: a guy finds out his lucid dreams have actually been him getting isekei’d every night for most of his life when he accidentally brings a friend/love interest back with him. She’s fascinated by modern Japan so they start going back and forth between the real world and magical world together.