Beyond Evil and CHIP-IN both start with cases where a group of people could be the culprit. In CHIP-IN the focus lays on the righteous daughter, in Beyond Evil it starts with the righteous new detective. Both team up with someone who they are suspicious off but still work together with.
Throwing around theories and questioning and suspecting everyone at one specific point makes both dramas not only darn gripping but also makes them very similar to one another.

Both dramas deal about a case that has happened long ago but is linked to the protagonists. In both dramas we have a male duo where both are at one point accused of the crime. Both have strong female characters and both are nail biting and make you stay glued onto your seat.

Both are crime/Investigation dramas that revolve around a investigation team. Both use psychological aspects in order to discover the murderer. Both have a team set up with a female who holds a special role. In both dramas a partnership is established between the female lead and the male lead. The Listener has however a smarter female lead.

Both dramas deal around a character that seems to be neither good or bad. While the viewer is left to question if the main character is the hero or the villain that everyone is looking for. Both dramas show a team where all characters have a difficult childhood and in both dramas characters are closely watched due to their fathers being criminals.

What is the trigger for a person to change their persona and become the next criminal? this question is debated in both dramas. Both are very well developed crime/thrillers, with controversial topics. Both show that the innocent children must not always be innocent and both show psychopathic behavior to the extreme.
There is a high chance that if you like one drama, that you will enjoy the other as well.

Both are absolutely mind-blowing crime/thriller dramas with an extremely well connected storyline, controversial topics and gripping characters. Both deal around the psychological aspect of victims and murders.
Analyzing the mind of people.
Finding out what triggers who.
Psychopaths and "innocent people" becoming monsters.
These are all aspects found in both dramas.
"Burning Ice" is a tad bit more well developed but "Mouse" is definitely more extreme to watch.

Begin Again has a different start - the girl is rich, and starts a contract marriage with the guy, while Autumns Concerto follows two late teens where he is the rich boy. Something happens and both couples separate but meet again after a few years. The story that follows afterwards is very very similar to each drama, due to spoilers I cannot reveal more.
But if you like one you might also enjoy the other drama.

Both dramas have Hyun Bin as a lead who plays a north korean who is in the military and comes to south korea for a mission. During his partners up with a south korean detective and lives with his family.
The concept is very similar but Crash Landing is the romantic/humor version whereas Confidential Assignment is full with action and has nearly zero romance.

Both dramas have as their story a group of people who conduct human experiments. In both dramas people escaped their facility and developed superpowers. In Luca and in Awake those children, which were experimented on, hold the key to the success for this experiment and are therefore wanted and hunted.
Truly it feels like the exact same story just different characters.

Although revolves around the military and another around prison both dramas are very similar regarding the relationship between the male leads and their respective girlfriends. Especially the story of Seo Dae Yeong x Yoon Myung Ju (DOTS) and Kim Je Hyuk x Kim Ji Ho (Prison Playbook) is very very similar.

Evil spirits. People with a special ability that fight against them, teaming up with someone from the law enforcement.
The Cursed is like the horror version of The Uncanny Counter.

Both are crime dramas that debate the morals behind of ones personal justice. Both deal about characters that change due to things that have happened to them. Both are absolutely mind blowing in terms of character complexity, story development and cases. Absolutely unforgettable experience.