Sometimes I feel like praying, even though I don't believe in God. The only prayer that I remember from my brief time in Catholicism as a child is the Lord's Prayer.
So I enjoy interpreting the familiar words from a scientific atheist point of view.
Our Father who art in heaven,
The laws of nature aren't bound by time and space, being both universal and responsible for the space-time continuum of our universe. These laws are our father, mother, sister, brother, and every other sort of familial relationship we might consider ourselves having with them.
Hallowed be thy name.
We humans have an evolved consciousness that allows us to not only experience the universe, but to conceptually understand its workings -- which includes giving names to entities within our experience and formulating mathematical equations that reflect many of nature's laws.
Thy kingdom come.
Of course it comes. It is already here. The cosmos is unimaginably vast, but more and more of it is being comprehended through the advances of science.
Thy will be done on earth as it is in heaven.
This "will" is the expression of the laws of nature, which govern the most minute subatomic earthly goings-on as well as the course of the hundreds of billions of galaxies in the universe. So far as is known, nothing in the cosmos fails to fall under the sway of those universal laws.
Give us this day our daily bread,
Nature provides for our needs through the presence of solar energy and the marvelous habitability of our one and only planet Earth.
and forgive us our trespasses,
Everybody screws up regularly. There is no such thing as omniscience, so human life is a continual effort to find the best way forward while avoiding danger spots as much as possible. Of course, the worst "trespass" is failing to preserve the natural environment that makes our planet so suitable for us Homo sapiens to prosper here.
as we forgive those who trespass against us,
Nobody is perfect, since there is no transcendent God or any other divinity able to rise above human frailties. So it makes sense to be tolerant of imperfection, since this is the way of the world. We can strive for the best, but we should be content with the good.
and lead us not into temptation,
It is temping to believe in a nonexistent God, because this belief can provide some comfort and solace, but we need to resist the lures of supernatural fantasies.
but deliver us from evil.
Which includes falsehood, superstition, and failing to recognize reality. Religion is one of the most common guises these "evils" come in, so we need to do our best to be delivered from it.