Box and Byzantine
Box & Byzantine weaves are best learned together as they use the same techniques. Both weaves are fun to make and come together quickly once you get into the rhythm of flipping the rings to create the box-y shape.
The Byzantine weave (also known as Idiot's Delight, Fool's Dilemma and Birdcage) expands on the same concepts learned through creating box and adds "connector" rings that look especially great in color. Once you've mastered this weave, you'll be able to explore a seemingly endless number of byzantine variations!