Article of Nekovar, see page 9.
In Levine’s chapter in the K-theory handbook, he mentions (page 511) a notion of geometric cohomology. This is something more refined than a Bloch-Ogus theory. Examples include de Rham cohomology, singular cohomology, etale cohomology with mod n coefficients. He remarks that although absolute Hodge cohomology, Deligne cohomology, and l-adic etale cohomology do not fit into this framework, “can use same method to define realization functors”.
arXiv: Experimental full text search
AG (Algebraic geometry)
Mixed
See also Arithmetic cohomology, Absolute cohomology
nLab page on Geometric cohomology