One popular plot is the discovery of a common enemy that forces Superman and Homelander to team up, despite their differences. Another is a battle for supremacy in a world where both exist, with different factions taking sides. And then there's the plot where Superman tries to reform Homelander, seeing the potential for good in him.
Well, it depends on how the fanfiction is written. If it's a more 'grounded' version where Homelander's public image and mind - games play a big role, he could potentially gain an upper hand. But generally, Superman has more raw power. He can move planets, and his speed is almost limitless. Homelander is strong and has flight and heat vision too, but Superman just seems to be on a whole other level in terms of pure power.
Man vs. Wild: The Unrivaled Player was a novel about the protagonist transmigrating into the wilderness survival game world. In this game, the main character's island did not have any system support, while the player's continent was cruel and had a system. However, the protagonist could bypass the system settings and increase his strength by hunting and eating meat. From there, he could walk the path of invincibility and compete with the system. This novel was written by the author Wudi. It already had 45,000 words and was updated three chapters a day. The author hoped to pursue details and emotional logic through this novel, rather than simply pursuing pleasure. If you are interested in this book, you can read it and download it.
The Invincible System of Man vs. Wild was a novel in which the protagonist transmigrated into the game world of Man vs. Wild. In this game, the main character's island did not have any system support, but the player's continent had a system. The protagonist could increase his strength by hunting and eating meat, bypassing the system settings. The novel described the protagonist's survival in the wilderness.