Typing this on a phone, expect typos.
I refuse to rank criminals and their crimes in order of favorites. But I do find certain investigations much more interesting than others, especially when it comes to an investigative team's ability or inability to identify a suspect and seal the deal.
One thing I've been doing a lot in the last few years is watching interrogation videos, and many of those stand out for a variety of reasons. Most of my interest here is because I enjoy seeing someone's lies dismantled piece by piece, and I enjoy watching the interrogators turn the screws on them in real-time.
There are many popular interrogations out there on Youtube, and for every one there probably half a dozen or more major write-ups dedicated to explaining the case in detail and deconstructing the techniques used for the viewer, it really helps give laymen like me so much more appreciation and understanding for every statement, question, positioning, delay, and body language employed by the detectives. Unfortunately there's also a whole bunch of utter bullshit "analysis" channels out there that rely on psychological psuedoscience and profiling to try to explain what is going to a person's mind at any moment, instead of describing specifics techniques being used on screen, but intuitive viewers will be able to tell the mumbo jumbo from reality soon enough.
Among the popular, more noob-friendly interrogations on Youtube are those involving LAPD officer Stephanie Lazarus over a cold-case murder she committed in the 80s over a love triangle. This interrogation notable because she was lied to about her reason for having to come down to an interrogation room near holding cells where weapons weren't permitted, and she didn't even realize she was the focus of an interrogation until they flat out told her. She's a fucking nutball and grows visibly more stressed as the questions continue.
Another good interrogation is for a Canadian murderer, Colonel Russel Willams, who shows up with a big smile and claims of wanting to help, only to have his lies systematically broken down throughout questioning as more and more evidence is brought to his attettion. By the end of questioning he's helping them find bodies on maps.
Then there are cases like serial killer BTK Dennis Rader who was such a complete moron he managed to get himself caught decades later after taunting police over an article in the paper, and started a dialogue with them that resulted in him actually believing detectives when he asked if they'd be able to trace a floppy disk back to him if he sent ione to them... which the idiot actually did. It led them to a church where he was some sort of higher up. This guy carried on killing for years by sheer luck, because he made an astounding number number of mistakes along the way that just never led to him.
It also never fails to bring me joy to see cold cases solved through the modern technique of familial DNA matching using public resources. The first huge case solved with this technique, and only a few years ago, was for a guy labeled EARONS, the east area rapist. A bit about him:
Joseph James DeAngelo Jr. is an American serial killer, serial rapist, burglar, and former police officer who committed at least 13 murders, 51 rapes, and 120 burglaries across California between 1974 and 1986.