Standard high school manga with strong male lead. He starts to like this girl and finds out shes really good at fighting. He joins some special school which has a bunch of different tiers. The girl is near the top of the tiers and she says if he gets near her level, she will recognize him. The students of the school are used by the government I think to stop crime. I think in one of the chapters a female student stopped a bank robbery.

Can't remember the name of this manga, anyone know?

Girls of the Wild's ? We don't see the bank robbery but it's talked about in the 1st chapters.

it's not Girls of the Wild's since its 1 of my faves and it doesnt sound anything like it.

but maybe Hidan no Aria it seems to fit but not possitive, been about a year since i was last reading it

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try rebirth knight

It shouldn't be Hidan no Aria since the characters don't fit..
The closest I can think of is Zeroin although it seems unlikely as they go to a normal school, but they also work for the government/police. (Also the main male character isn't especially strong or anything) I believe there was a bank robbery/hostage situation that was resolved though.

Good luck finding it and sorry I wasn't more help.

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Pretty sure it's Rebirth Knight