The James Webb Space Telescope (JWST) has made significant discoveries regarding various celestial bodies, including a giant exoplanet resembling Jupiter, cold exoplanets, and brown dwarfs. Epsilon Indi Ab, one of the coldest exoplanets detected, offers insights into atmospheric composition, revealing it to be warmer and more massive than previously anticipated. In another finding, JWST captured stormy weather in the closest brown dwarfs to Earth, WISE 1049AB, showcasing their dynamic atmospheres and the presence of silicate clouds and hot winds. Additionally, the telescope provided detailed atmospheric observations of WASP-39b, identifying distinct morning and evening weather patterns due to its tidal locking. These studies underline the JWST's capabilities in probing complex atmospheric conditions across different celestial bodies and enhancing our understanding of both brown dwarfs and exoplanets. Future observations promise to further explore these atmospheres, potentially uncovering weather patterns on habitable exoplanets.