Crime thrillers have never been more popular, but they've naturally become a little predictable. Great crime TV thrillers don't just keep you guessing; they create characters and stories you can't stop thinking about even after the show is over. I also keep tabs on where certain TV shows land across the free, ad-supported streaming world. Most crime thrillers treat a victim's family as a brief emotional beat before the plot moves on. Skip This If: You prefer crime TV shows that wrap up every case in a single episode.