In recent years, researchers across the globe have switched from synthetic fibers to natural fibers for the fabrication of composites. The desirable properties of natural fibers which attracted researchers, as well as academicians, are its low density, easy availability, environmentally friendly nature, biodegradability, and high specific strength. Hence in the last decade, there is tremendous progress in the development of natural fiber-reinforced composites for various industrial applications. The current review focused on the recent progress in natural fiber-reinforced polymer composite. The natural fibers discussed in this review are derived from leaves, namely pineapple, sisal, and abaca. The extraction and processing of these fibers are briefly outlined. The properties and application of natural fiber-reinforced composites are also addressed in this review. One of the drawbacks of natural fiber is its poor compatibility with the polymer matrix. The different treatment methods to improve the fiber-matrix interaction are also summarized in the present review.