When I was starting I made fabric gift bags, which we reuse for birthdays and Christmas. I started off with a very simple one - basically a rectangle with a hem at the top, and a ribbon sewn on near the top to tie around; and then got a bit more adventurous and did several in different shapes, with casings, French seams (which are awesome, look 'em up!) and so on. You could use them to practice machine applique, topstitching, sewing rickrack or ribbon on, lining them with other materials, working with cottons or knits or sheers, patchwork... mine were fairly plain, in countryish subdued colours, but you could go really nuts and make beaded, fringed, quilted ones if you wanted to!
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Sturdy reusable shopping bags were another early project. Skirts can be fairly simple too - definitely the easiest kind of adult-sized garment to make. Google "paneled skirt tutorial". You could also make a peg bag, or a fabric Advent calendar with little pockets, or a roll-up crayon holder (Indie Tutes has a good tutorial for that), or one of those long sausagey bags to keep plastic bags in, or pillow/cushion covers, or a wheatie bag, or a pincushion, or placemats, or a simple child's apron, or potholders, or an elasticated headband....
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There are heaps of amazing sewing tutes online. I like "Ruffles and Stuff" and Indie Tutes, but in general if you just google "tutorial [item]" you'll find a few.