Zig zag jump ring and beads bracelets are very popular. Simple design and quick to do. Some time ago, I wrote about one tutorial which uses seed beads. Oksana of Oksana+Hobbies shared another approach with larger beads and a knotted bead and loop ...
As one reader said before, a better option would be to use closed rings. If not, make sure the jump rings you use are closed tight with no burs sticking out to catch clothing!