Like you OP, I don't believe in organised religion. I appreciate a lot of the art, music and architecture that were produced in the name of it though, and the community it can provide and comfort others might find in it. I can understand the ideas behind some of the prescriptive doctrines as well, as a shorthand to help people live. It can be seen as controlling, but there are many people who crave a framework in what can be a difficult world. It's harder to create your own mortality or ethical code from scratch, although maybe ultimately more rewarding.
I believe that there's something beyond us, ie something greater. Not in terms of God as he's presented in religion, an omnipotent being looking over us. I think more in terms of a universal consciousness which is made up of all past, present and future consciousness. I think every experience that has ever or will ever be is contained within this repository that is the universe. There's nothing that can't be.
The universe is infinite, such a mind blowing concept, and everything that ever was or ever will be is in the matter of the universe. The idea that we are made of stars is amazing. And that it's basically recycling material into new forms all the time. We are all infinitely connected, with all other life, even in death.
In human terms, I do think psychology is the universe looking out for us. How we present ourselves in the world reflects back to us, like self-fulfilling prophecy or confirmation bias. If we are generally looking for the best in others we will find it, likewise the positives in situations, good luck etc. Conversely if we look for the bad we find it. Life can become a virtuous or vicious cycle. Which is why believing in the universe as something good has that effect. It's not a placebo, is the energy you generate affecting your environment.
So similarly, someone that believed in God, in for example a Christian tradition in a previous century, put that energy into creating a carving on a cathedral as their life's work in the name of that God. This craftsmanship continues to exist several centuries later and is seen, appreciated, loved, provokes curiosity, or fear, hatred, disgust maybe, in countless other people throughout that time, sparking ideas that turn into other crafts, art, stories, songs, arguments, memories etc. Every action has a reaction, the consequences of which are eternal. We have taken part in something so much greater than us, but which couldn't have been without us. It's wonderful.