I do believe in the power of massage. The power of human touch and muscular massage can really de-stress and get those feel-good transmitters and receptor going with the good stuff. Even an inexpensive massage at the mall can do that for you. It does not have to be a $300 spa day. (And I'm not talking about the happy-ending kind at the asian massage parlor, either.)

What is this "de-stress" of which you speak?

Mindfulness meditation, exercise, sex (self & other), moderate alcohol consumption, hot tub, television.

Since you seem to be seeking things specifically to replace prayer, I would direct you to many, many options for meditation that are out there. I recommend books and audio programs by Zen Master Thich Naht Hahn and videos by deeply secular news anchor Dan Harris. There are even apps to guide you, such as Calm, Breathe, Insight Timer. I believe Sam Harris has even developed one called Waking Up.

Welcome to your new freedom!

Deep breaths are good, but deep drags on a pipe work better. Seriously, I de-stress by getting in my car and driving down rural roads (they are all rural roads here) while listening to Neil Gaiman books, or maybe Terry Pratchett's. Or late at night, I may have one or two shots of aquavit and listen to the Rolling Stones until the dogs protest.

I masturbate

For de-stressing I also like being near moving water, like standing in a mountain river. Something about the flow of energy and the ionized air. And i might as well catch a brown trout with a fly rod while i'm in there.

Count your Blessings. Nothing to to do with god... keep your eye in your Potential and how much you are Worth... to yourself. Peace.

@LisaL81 I like to go into a flow state.

Hope these little de-stressors of mine lead you to find what works best for you.

I walk a labyrinth if there is one nearby. Or, I take a hike in the woods, bring my hammock, and find a place to relax and enjoy the quiet.

I run or walk. Clears my head.

A little scotch and a little weed, or when I am playing music. Sex works, but the other two are much easier to come by. No pun intended.

I meditate daily so as not to built up stress...intense physical workouts help me as well, especially if it involved punching something...

Petting my black cats seems to calm me down and take me away from it all...

I like all of the suggestions people have given...one of each works for me!

In general, even tough my life is not easy, I have little issue dealing with stress. Just the way I am wired, I'm certainly not special or in denial. To the extent I do feel any, exercise is best. A cigar with cognac is effective as well.

Yoga, meditation, weed, playing and/or listening to music, getting out in nature, exercise, hard work, and sex and/or masturbation seem to be the most sure fire ways to clear my mind. Hot tub, sauna, massage, stronger psychedelics and swimming are all primo reset buttons for me too but I don’t get to partake in them often.

Look back on my life and appreciate all I've experienced, the bad as well as the good. Look forward and know that there's more to come...

I love to read very much and a good book it usually de-stresses me.

Talking to friends really helps me. Of course, most of my friends like to go to bars, so that's a factor worth noting. Nothing lasts, however, until you completely disengage from the source of the stress, at least for a while.

It depends on what I'm stressed over.
If it's something I have control over then I do whatever needs to be done as soon as possible.
If it's something out of my control then I remind myself of that fact and try to let it go.

Also, binge watching your favorite show on Netflix doesn't hurt either lol.

I run

I make lists of what to do about whatever's stressing me -- steps I can take to make it better. And sometimes I just have champagne.

Sex and alcohol

Walk by any body of water,meditate,certain music,420,playing guitar, strolling through the park/woods...for different stress levels,different solutions

Exercise. I do a regular Muay Thai class now, 'cause I like thumping stuff.

When I look back on my life I realize that more than 95/98% of the things I worried about never happened. I think that a major cause of stress is not always the situation that we find ourselves in but more often our thoughts about it generate stress. Of course, if you find yourself in a hostile working environment and there is nothing that you can do to change the atmosphere, then leave.

There are different ways to de-stress. For me it is doing the things I love. Seeing friends, reading, good music, a funny movie, bike riding by the lake. etc, etc. Do the things you love and your mind will let the rest go.