So there are a few I actively keep track of.
Nisekoi is a fairly popular romcom deal involving a whole fuckton of characters involved with the police/yakuza/mafia who are involved with said groups almost exclusively as a means to be connected to the male lead who, obviously, is lusted after by every woman he talks to more than twice. It was actually a pretty solid manga early on, back when there was a focus on only three main characters. Recently each chapter is just another heroine getting her shot at the main guy, ending up not accomplishing anything/deciding (AGAIN) that she's not really interested, and moving on to the next girl for her turn. Pretend it ends at the play and stop reading.
Koe no Katachi, on the other hand, is a really touching story of a young man trying to reconcile with a deaf girl he bullied in grade school. It's forty-something chapters in right now and I've yet to reach a point at which I think any given character's decisions are nonsensical. For manga or anime writing, this is a pretty big deal for me. Of course, there are characters that are bitches, and there are characters who do really mean things for no obvious reason, but it all feels like those actions make sense. Give the one-shot a read at least. It's pretty damn great.
I've also got Taiyou no Ie, which is the story of a [high school] girl who goes to live with a [adult male] childhood friend of hers when her new stepmother and she don't click. Get past the obvious teenage angst and the love shenanigans between the male and female leads that you can see coming from two thousand miles away and you're in for a nice story about reconstructing a family broken by tragedy. And also one of the most hate-worthy supporting characters of all time.
Jitsu wa Watashi wa is a fairly new publication as best I can tell. It's a quirky little comedy about vampires, aliens and the like. There are several characters that have been introduced thus far -- pretty much all of them female, but none of them lacking in personality. The chemistry between the leads is great and it hasn't turned into a harem manga yet, so I give it a recommendation. You'll probably get a laugh or two out of it.