I found a canvas U.S. Mint "CENTS" bag at my sister's house and it pirked my interest. Now I have all the denominations. (But be sure to check out the last one.) And of course, knowing me, I would also have to have an error bag...seriously (25% off-center; special thanks to @Fred Weinberg). Enjoy!!!
You could focus on acquiring all of the denominations above $1.00, but that might get a bit more challenging. Some members have seen this before . . .