I made a t-shirt quilt after my brother passed away, and gave it to my sister. Our brother had special needs, and for many years had attended an adult summer camp--and had t-shirts from every session, as well as many from travel, etc. I backed the logos with fusible light-weight interfacing and filled in irregular shapes (he also had logos from Special Olympics golf and bowling tournaments, etc.) with machine embroidery as appropriate.
I sashed, bordered, backed and bound the quilt with a red/maroon flannel, his favorite color, and tied it with maroon perle cotton. It was very special to all of us.