When I (KD) was growing up, the children's pastor at our church was Miss Deanna and she was one of my favorite people on the planet. She was at my wedding and I still referred to her as Miss Deanna, for the record, as I still revere her deeply. One of the themes of her ministry was to teach us to be grateful for our lives. This was never done in a pitying way or cheesy, but even as elementary school students, she was clear with us that we were loved, but that being part of a community meant actively loving others and remembering we are not the center of the universe.
The main difference, as far as I'm concerned, between gratitude and thankfulness is the permanency of the orientation. Gratitude is a mental commitment to shaping your life around acknowledging you cannot do life/business/parenting/leadership without others.
There are LOADS of things - small and large - that you can do in your organization to cultivate an attitude of gratitude and there are lots of companies that can help you think through employee appreciation programs and such. Maybe trophies and badges and silly plaques work for your culture (I'm thinking of "Busiest Beaver" from The Office as a I type this), and maybe they'd be a total flop. Maybe food is the best way and occasionally throwing pizza parties is how to make sure everyone knows that you're grateful for them. Maybe it's hand written cards, or personal emails, or flowers delivered to desk. I don't necessarily care how, what I really care about is why. Your folks should know that you know your organization isn't anything without them.
As this week is full of talk of what we're thankful for, I'd encourage you to also contemplate who you're grateful for.