I am looking for some angsty story where the lead-preferably male, doesn't really matter tho- leaves away from the other lead and tries to hide from them, because they are feeling overwhelmed (from their feelings, situations etc), still they can't help to be still be drawn to them.

If you know any story like that -even if it's not manga or exactly as described- please let me know!

I'm afraid that some day everyone will abandon me...and they'll be left alone!!

Banana Fish - male leads, my only non-romance suggestion, avoids due to situation & feelings
Orange Marmalade - webtoon, female lead, avoids due to situation (both due this at various points)
Hana Haru - webtoon (same author as above), dual male/female lead, female lead avoids due to situation & feelings
Komatta Toki ni wa Hoshi ni Kike! - mild BL-ish story, avoids due to feelings
My Fair Neighbor - male lead, avoids due to age gap
unTOUCHable (Massstar) - webtoon, female lead, male lead avoids her because of his mysophobia
Transparent Cohabitation - webtoon, female lead, avoids due to situation
Shall We Have Dinner Tonight? - webtoon, dual male/female lead, female lead avoids due to feelings (a small part close to the end)
Skip Beat! - female lead, male lead avoids due to situation (at various points throughout the story)

I kind of thought I would find more of this sort of story. I probably missed a few that I have read but couldn't remember.

First to come to mind is Boku no Hatsukoi o Kimi ni Sasagu, which is angst incarnate (though I did find it a bit enjoyable).

Boku to Watashi no Henai Jijou was significantly less angsty and more sweet than anything.

These are the ones I remember off the top of my head:

Sunadokei - female avoids male lead because she doesn't want to weigh him down with her mental health.

Kanata Kara - both male and female lead avoid each other throughout the manga because they don't want to hurt the other person.

Sekine-kun no koi - male avoids female lead because of confused feelings (denial).

Our Relationship Is... - female avoids male lead in order to get rid of her feelings for him.