Like Shelbie, most of my charity quilts go to my Quilt Guild for distribution - last year, which I organized, they all went to the local Women's Shelter,
On my own I've given to a boys home. I had a teenage grandson at the time (I still have him but he's older) and thought we'd made lots for babies, girls and mothers. I got the most wonderful letter from the youngster who got it. He was thrilled and so was I. I've also donated to the Animal Shelter and to a local church who'd requested some for elderly poor church members.
I think anywhere where there are folks in need is a good place for your donations.

At my local Women's Shelter they are given to the Moms and kids to keep.

downey quilts for kids, st. Judes, linus project; the womens resource center (for the shelters) the fire department (for families who have lost all in home fires), relay for life, challenge mountain, the local hospital pediatric department and the hospice house are the (main) ones i donated to this past year- sometimes the list changes a bit but these are the ones who usually get quilts, pillowcases, afghans from me---and special requests---like the cheer team, the swim school, other (fund-raising) local requests.

Right now there are many tornato victims that need quilts

There are also "no-kill" shelters for homeless pets...you can make fairly small quilts, and boy! do they love them! I try to do several a year for a local one, also give a few to my vet.