A possible plot is that an alien race uses a powerful device to drain Superman's powers completely. Batman, with his vast array of gadgets and his strategic mind, finds a way to break into the alien ship where Superman is being held captive. He then has to fight his way through the alien defenses and reverse the power - draining process, ultimately saving Superman. Maybe there could also be a story where Superman is under a mind - control spell, and Batman has to work with Lois Lane to break the spell and save him. Batman would use his knowledge of technology and Lois would use her connection to Superman to bring him back to normal.
One plot idea could be that Superman is exposed to a new type of kryptonite that not only weakens him physically but also starts to affect his mind, making him a danger to himself and others. Batman, using his detective skills, discovers the source of this new kryptonite and figures out a way to neutralize it, thus saving Superman. Another could be that Superman is framed for a crime he didn't commit and is being hunted by the world. Batman, believing in his friend's innocence, uses his resources and stealth to clear Superman's name and save him from the wrath of the world.
Well, in some fanfiction, Superman could be lured into a trap set by a super - villain who has a weapon that can turn Superman's powers against him. Batman, who has been keeping an eye on this villain, realizes what has happened. He then embarks on a mission to rescue Superman. He might need to enlist the help of other members of the Justice League, like Wonder Woman or The Flash. Batman could come up with a plan to disrupt the weapon's function and free Superman from its control. This would show the strong bond between Batman and Superman and how Batman is always there to save his friend when he's in trouble.