By displaying visually I assume you mean including an image on the topic list?
You can filter by category/tag, but what do you mean by organizing visually? Do you mean sortable by dragging and dropping topics (like kanban cards) into columns?
We don’t have anything like this on the official roadmap (plans for upcoming features for 2.3/2.4 are in https://meta.discourse.org/c/releases). You’ll want to build a theme or a plugin to accomplish what you’re looking for.