This is just a list of manhwa/manga which has main character/s who gained a second life in the modern world setup.
Main Characters: Reincarnated/Second Life
Settings: Modern Society
The list is in no particular order.
Feel free to suggest anything in the comment section.
Isekai BL
Reincarnation, Transmigration
Reincarnated in Another World
Reincarnated in a Game World
Reincarnated in a Book World
Transported to Another World
Reincarnated Lover
Multiple Reincarnation
Reincarnated in the Past
Time Travel
Time Rewind
Part 2:https://www.mangago.me/home/mangalist/3123306/
-Reincarnation, Transmigration
-Reincarnated in Another World
-Reincarnated in a Game World
-Reincarnated in a Book World
-Reincarnated as the Villainess/Villain
-Reincarnated as a Side/Mob Character
-Reincarnated in The Past/Future
-Time Travel, Time Rewind, Regression
-Transported to Another World
-Female Protagonist
PART 3:https://www.mangago.me/home/mangalist/682647/
PART 4:https://www.mangago.me/home/mangalist/1494844/
PART 6:https://www.mangago.me/home/mangalist/3193687/