I finally got my husband to talk to his brother's family about not exchanging gifts. Ht resisted, not because he wanted to give or receive gifts to/from them, but because he was afraid they would be offended somehow. HE finally decided to do it after their finances took a turn (foreclosure, etc.) and they quickly agreed.
So if there are any people you don't feel compelled to give to, bring it up. Or just announced that this year, you don't want any gifts as you are minimizing and simplifying, and then send a card.
I've also taken to doing one large charitable act each year and sort of dedicating it to various friends and family members. "I paid for Boy Scount uniforms and fees for 6 kids, partly in your honor." Some people may balk at this suggestion because I do sort of use it as a catch-all. If I decide to tell Uncle Bob this year that it was partly in his honor, I don't add an extra $XX to the donation. But when I make it, I do think of how fortunate I am to have so many special people in my life, and the donation is an expression of my appreciation of that, so it does feel honest when I send my friend group a note announcing that I made the donation for "us", or I tell that to my coworkers or ILs, or whomever.