Currently I'm reading:
Toriko: In my opinion best current shounen battle manga. The world building is amazing, plot its quite interesting and the fights are super violent but quite detailed at the same time.
Bleach: Loving the current arc which is much better than the last arc. This is the final arc if I'm not mistaken so I hope the author doesn't mess up.
Naruto: Not a big fan of the current arc but it seems next year when the manga resumes it could get better.
One Piece: I never truly connected with One Piece, its probably because I didn't read it from the beginning but I can see why is so popular, its a great manga.
Beelzebub: This manga is just hilarious.
Kuruko no Basket: Its an ok sports manga, there's clichés here and there but still interesting nonetheless.
Fairy Tail: I don't actually enjoy reading Fairy Tail anymore, but ive read it for so long that I have to see it end.
Shingeki no Kyojin: I started reading this a few years back when it was still starting so I didn't enjoy it as much as the anime viewers because the art was pretty bad, but of course the story so originally awesome that it doesn't matter.
Magi: Another ok manga, don't have much to say about it except that Sinbad is a boss!
Soil: I started reading this last week and I find it really hard to stop reading it late at night, its really really good. If you're into mystery then you will love this manga.
Sorry if this was too long I just love reading manga :). This are the only ones I'm currently reading but some I used to read which are pretty good are Cage of Eden, Noblesse, HunterXHunter(on Hiatus) and Hitman Reborn.