Approximation properties of quasi-projection operators Qj(f,φ,φ˜) are studied. These operators are associated with a function φ satisfying the Strang–Fix conditions and a tempered distribution φ˜ such that compatibility conditions with φ hold. Error estimates in the uniform norm are obtained for a wide class of quasi-projection operators defined on the space of uniformly continuous functions and on the anisotropic Besov-type spaces. Under additional assumptions on φ and φ˜, two-sided estimates in terms of realizations of the K-functional are also established.