Which Akame ga KILL! manga should I read if I want to continue the storyline of the anime? I saw there are various manga with Akame ga KILL! in their names.

The ones I have found are:


Akame ga KILL!
Akame ga KILL! Zero


Which one should I read if I want to continue the storyline of the anime?
Akame ga KILL! Zero is a sort of prequel which tells the story of Akame when she was a part of the government's army, how she was trained and so on. The anime is following the Akame ga KILL! (non zero) manga and from what I can recall is close to chapter 48 of the manga as of episode 18.

So, if you want to follow the story of the anime read the first title you posted, the Zero version is a prequel which introduces some characters which may or may not be met again in the principal storyline.