When my granddaughter started off to college, she asked me to make her a quilt using a bunch of the T shirts she'd acquired the last four years, from school things, church things, concerts, etc. I didn't do anything special. I just cut a big square out of the fronts,
including the logos, and sewed them together, and then used batting and one large piece for the back, and it came out good.
I quilted it in fans, about two or three inches apart. It's held up good. She graduated college in May and is teaching math in a nearby high school.