I love weaving! I use more complex looms (up to 8 shafts) but have enjoyed using rigid heddle looms too. There are a couple of excellent Craftsy videos for rigid heddle looms, and there’s a book out there called Inventive Weaving on a Little Loom that’s supposed to be pretty good.
Popular items to weave besides scarves and table runners include placemats, napkins, tea towels, and bags.
And to add a tip to your library of sewing with handwoven fabric, if you want to sew without interfacing (because you want to keep the drape of the fabric, for example), you can put a piece of printer paper under your seam and then tear it away. It helps keep drapey handwoven fabric from getting all caught up in the machine.