Both dramas have protagonists who may not look very upright
Both are police investigation type dramas
While Beyond evil focuses on many criminal cases, Connection focuses on cases which are connected to each other
Both have plot twists which keep you at the edge of your seat!

Both have an element of suspense and mystery
Both have a bad guy who's not revealed till the end
Connection is more of police investigation while in 365:Repeat the Year, the protagonists themselves try to find the bad guy
Connection hasn't ended yet but it keeps you on your feet on every ep. , the same for 365, its plot twits were unexpected

Both are well written dramas for crime and suspense fans

Both dramas are focused on solving a series of mysteries that connect to each other
Both have one evil mastermind behind all the mysterious events that the protagonists are trying to catch
ML and FL in Memorist are both in the police division while FL in Connection is a journalist

Both ML's have an important/special plot kinda thing (a thing that makes them special/different)

Memorist focuses solely on catching the bad guy while Connection has a few side plots

Both are amazing dramas and have almost the same vibe
Connection isn't over yet, but it gave the same vibe as Memorist, the way they solve the crime