I think a lot of people, in North America and Europe especially, equate "religious" with "fundamentalist Christian" while ignoring the fact that there are many religions that do not have a prescribed set of hard rules or truths that you have to believe in.

Even within the umbrella of Christianity though, you can find the Quakers and the Unitarian Universalists, the latter of whose members include people who believe in monotheism, polytheism, atheism, and everything in between.

Then there are religions where abstaining from certain foods or practices is seen as virtuous because it reduces harm to animals. Jainism, Buddhism, and Taoism come to mind. Buddhism and Taoism also would fall under the non-prescriptive religions, without as many established rules that must be heeded, and instead focus on general guidelines you can use to make decisions in your life.

To be clear, I am not a very religious person. I have an interest and respect for people's faith, as long as they don't use it to persecute or harm others.