I have found quite a few things at dollar stores for the bunnies. Small (around 30X30 inches) fleece blankets are great in carriers and they come in some different colours and patterns. Pet beds are also great, but the selection can vary. Some cats toys and tunnels are also good. I have also found large cat litter boxes. The small cat dishes can be good for travel too For things not in the pet area, there are zip ties (good quality ones, not all are good), tarps, shower curtain rings, baby teething toys, under shelf racks can make good hay racks, ceramic dishes for food bowls. Some have stick on tiles for covering wood or coroplast.
The thing with dollar stores is that they are all different. Larger ones tend to have more selection and better prices, but some smaller ones can be good for specific prices. I would recommend going when you have some time and just looking around and seeing what is there and what you can use. You may find something you love and needs, so buy it then as the next time you go in it might be gone.