The problem is that at least the vast majority of religions come with "standard" texts that contain explanations for where, for example, humans and the Earth came from ("creation myths"). When science discovers information that conflicts the these texts, the texts are not typically discarded or revised, as would be the case in science. This sets up an automatic potential conflict between science and any religion that claims to provide real information about the physical world. (Except if a case was found where the "standard texts" of a religion actually were actually confirmed from genuine scientific research.)
A "religion" might exist without physical world predictions, but then it would probably be much more of just an ethical movement (e.g. such as vegetarianism) than a real religion. Possibly Unitarian-Universalism and some types of Buddhism could be such "light" forms of religion.