A crossover with 'Sherlock' would be cool. Imagine Sherlock's deductive reasoning combined with the BAU's psychological profiling. They could be working on a case that involves a criminal mastermind who is playing mind games with both teams. Sherlock might initially be dismissive of the BAU's methods but then come to respect them as the case progresses.
How about a crossover with 'Stranger Things'? The BAU could be called in to investigate the strange disappearances in Hawkins. They meet the kids who have their own unique abilities. The BAU has to figure out how the Upside Down and its creatures are related to the criminal behavior they are used to profiling.
One interesting plot idea could be a serial killer who targets both the FBI agents from Criminal Minds and the SWAT team members. The two teams have to combine their skills, with the Criminal Minds team analyzing the killer's psyche and the SWAT team providing on - ground protection and tactical support. For example, the killer might be leaving cryptic messages that only the profilers can decipher, while the SWAT team has to deal with the physical threats the killer poses during their investigations.
One idea could be that the Scorpion team is called in to help the Criminal Minds team with a case involving a highly intelligent criminal who is using complex technology to carry out their crimes. For example, the Scorpion team could use their skills to decrypt the criminal's encrypted messages that the Criminal Minds team couldn't crack on their own.
One idea could be that the BAU team from Criminal Minds is called in to investigate a series of murders that seem to have a connection to Dexter's 'hobby'. Dexter, being the secret serial killer who targets other killers, might initially be a suspect. Then, as the story unfolds, they could end up working together to take down a bigger network of criminals that neither could handle alone.
Well, a cool plot might be that Sherlock and Reid from Criminal Minds get into a battle of wits over a case. The case could involve a super - intelligent criminal who is playing mind games with both of them. Or perhaps there's a case where the BAU's profiling skills are needed to understand the motives of a criminal that Sherlock has been chasing, but can't quite figure out the 'why' behind the crimes. And they end up learning from each other's methods.
One idea could be that the BAU is called in to help the NCIS LA team when a series of murders seem to be related to a military - civilian connection. The agents from both teams could clash at first due to different working styles, but then gradually learn from each other and solve the case together.
Maybe in the fanfiction, a member of the CSI team has a personal connection to a case that the Criminal Minds team is investigating. This could lead to some intense emotional moments and also some friction between the two teams as they try to balance the need for objectivity with the personal investment. The story could explore how they overcome these challenges and solve the mystery behind the crimes.
One idea could be that the Scooby Gang from Buffy teams up with the BAU from Criminal Minds to solve a series of murders that seem to have a supernatural and a psychological aspect. Maybe the murders are being committed by a demon that is using human psychological weaknesses to target its victims.
Well, you could write a fanfiction where the BAU team gets trapped in a virtual reality world created by a tech - savvy unsub. They have to solve puzzles and cases within this virtual world in order to escape. Or perhaps a story where a new agent joins the team who has a psychic ability that they keep hidden at first. But as the cases progress, this ability starts to surface and help the team in unexpected ways.
Well, here's a plot. A new agent joins the BAU who seems to have a romantic interest in Reid. JJ gets jealous and starts to analyze her own feelings for Reid. Meanwhile, they are working on a case that involves a cult that has some sort of mind - control element. As they work to free the victims, JJ and Reid have to face their feelings head - on. This plot would involve a lot of drama, both in terms of the case and their relationship.
There could be a fanfiction where the Teen Wolf gang travels to a city where the Criminal Minds team is based. They notice some odd killings that seem to be related to a supernatural force. The BAU starts to investigate, not realizing the true nature of what they're dealing with at first. As the two groups interact, there are misunderstandings, like when the BAU tries to profile Scott as a potential suspect because of his enhanced abilities. But eventually, they join forces. Scott shares his knowledge of the supernatural world with the BAU, and the BAU uses their profiling skills to track down the real culprit, which is a powerful supernatural being that has been using human proxies to carry out its killings.