Lining the Lid
Lids of baskets are often lined in a fashion similar to the glued-on bottom. This works fine, but a few little additions can make your lid more fun.
If you are lining a sewing basket, consider adding a pincushion to the lid. The entire lid can be made into a pincushion with a couple of layers of batting, or you might designate a small area for one.
To make the latter, pin a backing piece to the back of the lid lining and machine-stitch around the area you want for a pincushion. This might be a single motif of your lining fabric or a circle or a square. Make a small cut through the backing fabric and stuff with pillow stuffing. Finish as you would a glued-on bottom.
You can put pockets on the lid before you glue it to the cardboard, but don't plan to use them for anything but fairly light objects or they will pull the lining off. Adding ribbons to use to tie on a small pair of thread scissors is another suggestion.
Instead of using cardboard, the lining can be glued directly to the lid. If it's hard to get the edges turned correctly, cut the seam allowance off and glue the fabric directly. Or you might edge the piece with bias tape or sew a ribbon or ruffle around it. You can cover the edge with ribbon or ruffle after it's glued down, if you'd rather. Be sure your trim doesn't interfere when you close the lid.