1. Manga that can pump up my blood and adrenaline like I want to know what happen next. I dont mind if it started slow and eventually get better.

2. Manga like Toradora!. MC have crush on another woman or friend and at the same time helping FMC with her crush. Eventually both MC and FMC like each other.

3. MC is clueless that FMC or other woman likes him. MC only realise after certain tragedy or incident. Prefer a serious tone for this one.

No BL, Yuri, Yaoi, Hentai.

Rokkon Shojo
TeppenMezashiteTondeAruYo
Let justice be done, though the heavens fall

Ares
Pumpkin Scissors (read and watch recommended)
Hellsing (Uh, very mature and lots of gore. Not any sex, though. The manga is better than the anime, the anime equivalent is Hellsing: Ultimate, not Hellsing, which is a spinoff of the original story)
Blame! (there might have been one or two scenes with nudity... maybe; it's been a while)
Darker than Black (anime version is definitely worth watching)
The Breaker (it's sequel The Breaker: New Waves is excellent as well. The sequel to New Waves... it's a disappointment but not without hope as the authors seem to have realized readers wanted a solid ending and not a glorified repeat of the first story)
Black Cat (Okay, so the guy who wrote and drew Black Cat is probably more famous for being the artist of To Love Ru, but that's a downgrade. Black Cat is a superior story, and it's a shame the author/artist ended up working as the artist for an Ecchi romcom that wasn't written as well instead of getting to make a sequel for this story.)

I'm a jack of all trades but master of none. Too many jars and not enough hands.

Kimi no Suizou wo Tabetai
Kinda fits your 3rd criteria.

1. The Fable and maybe Mieruko-chan
   2.Happy Kanako's Killer Life ?
2. Tsurezure Children and little part of Shikimori's Not Just a Cutie

Guys.. Thanks.. Awesome recommendation.
I would start with Pumpkin Scissors first

Rokkon Shojo
TeppenMezashiteTondeAruYo
Let justice be done, though the heavens fall