A manga where the protagonist denies the honor to be the savior or a hero, just because he/she doesn't care what will happen to the ones asking him or because he/she have his own goal that he/she wants to achieve - for instance he is passing by a burning village attacked by a band of thieves but instead rushing to help, he/she quietly continues his/hers journey unconcerned about the faith of the residents of the village - quite the opposite of Heroic age, Samurai 7 age or the most shounen manga out there. Example: Claymore, there was a moment like the one I mentioned above in Princes Mononoke . It doesn't have to be fantasy and no yuri/yaoi, shounen/shoujo ai and hentai pleace.
Thank you in advance

You can try Übel Blatt.
It's not that he denied the honor of a hero, but he was betrayed by his teammates and was made to be a villain-type.

Superior and its sequel. Hero who doesn't like and don't want to be one.

Gantz
Abara
The End
No. 5
Tropical Citron


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Well in Bloody_Monday_2 he doesn't want to 'hack' to help save passengers on an airplane that's outta control, sorta what you mentioned.
I didn't bother mentioning the first Bloody Monday because he doesn't not 'hack' but it might make more sense reading both.

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You're not alone. <BR>We are partners. <BR>If you are a witch, <BR>Then I'll become a warlock.<BR><BR>- Lelouch Lamperouge (Code Geass)

I have already read: Hoshi no Samidare, Psycho Staff, Superior, Abara
I put on hold: Bloody Monday, Übel Blatt
Gantz - just don't like it
I will try
The End
No. 5
Tropical Citron
Thank you for the recs If there is more, keep them coming