Several qult guild friends save their scraps to use for coasters, hot drink wraps (for tall cups, like the cardboard wraps on the Starbucks cups).
I have another friend who cuts her scraps into 3 1/2" squares for glue-sticking onto precut 3 1/2" squares ... which she turns into completed fabric-batting-fabric units (just like a coaster) which she then hand-sews together to create reversible quilts, wall hangings, runners, etc. One of her most attractive projects is doing this with half-square triangles using one of many layouts to create a large long rectangle, which she then uses to create a purse or tote.
Another guild friend saves her batting scraps according to weight and fiber content, and then puts these gallon ziplock bags on our Freebies table at our monthly guild meeting. Someone always takes the bags and makes some use of the scraps - ornaments, keychain fobs, you name it.