BlueWillow is a simple AI image generator that lets you create images by typing in a description. It can create a broad range of images, including logos and graphics, and offers a free service that lets you refine or re-generate images as needed. The community also has a Discord channel where you can share and discuss your creations.
Another good option is Logo Diffusion, an AI-powered logo design system. It can create custom logos from prompts, with features like converting 2D logos to 3D and generating new designs until you find the perfect one. The system also offers tools to convert generated logos into clean vector files and to remove backgrounds for transparent PNGs.