Hello Michal,
I dont know if this is your question, but: imo its no
- Jackdaw: wrong shape, wings to broad and not rounded, too large in realtion to body and wrong bill
- Raven: tail too short, bill too small and wings appear not long and "fingered" enough
- Rook: many have a fuller, longer, slightly wedgeshaped bill and a different bill-shape. (yes, bill-shape is whishful thinking with these "from-behind" views).
So its either a Hooded or a rare Carrion Crow or an hybrid for me, I agree with Butty.
I get the feeling, that a pure Hooded Crow with ID-friendly pale grey areas would be visible in these pictures.
As others mentioned in other threads here, there are Hooded Crows with a more or less "normal" pattern, but darker grey areas. I dont know what to make of them, too.
But I dont think, you can exclude one of those "Carrion Crow" lookalikes hybrids with these pictures. I have posted some of them here before, but I am still looking for a "phaenotypical" pure-looking Carrion Crow, where only some moddeling on the undertail-coverts are proof of hybrid origin/intogression.
And I agree with Butty: location is very helpful here