Vessellessness in shoots and leaves characterizes many species of monocots (chiefly Arales, Liliales, and Asparagales), and is often coupled with devices to limit transpiration.
To be sure, monocots that produce additional bundles from a monocot cambium are exceptions to this, but such monocots can be seen as having superimposed a new vascular formula onto a basic monocot vascular system as seen in, say, Arales or Zingiberales.