If I'm sauteeing, I can usually substitute oil for water or veggie broth, cook on a lower heat until browned or items have softened. There is also the method where you sweat the food and because it has enough of its own moisture locked into itself no additional liquid is then necessary.
If I'm making things like pancakes and omelettes (vegan ones of course) and find they continue sticking to my no stick skillets I then would choose to substitute the no-stick spray with parchment paper. It is naturally non-stick and as long as the paper doesn't touch the flame of the stove it can be heated up to 450 F safely. So it works fabulously in the oven too on cookie sheets, loaf pans, muffin tins, casseroles, etc.
You cannot use wax paper or brown butcher paper, only parchment paper.
Here is a great website demonstrating with video the different ways to get your paper to fit various cooking implements. Hope this helps!