A novel parsimonious approach for rich and high-spatial-resolution remote sensing ecological and climatological multi-sensorial, multi-spectral Landsat data is pickled up for spatio-temporal analysis and synoptic depiction of four key indices like land use/land cover (LULC) alterations, fractional impervious surface area (FISA), normalized difference vegetation index (NDVI) and land surface temperature (LST) altogether for two decades especially in 2004, 2014 and 2024 for relatively unexplored Jaipur, Rajasthan, in India. 2004 and 2014 represent two critical decadal snapshots pre- and post-major urbanization phases in Jaipur. 2024 represents current conditions predicted/estimated using the latest available Landsat 9 imagery. This approach captures long-term land-climate transitions every 10 years whilst also aligning with available high-quality Landsat data from consistent sensors (Landsat 5, Landsat 8 and Landsat 9). Spanning 50-year historic enriching digital and technical breakthroughs in Earth and its climate observation programme and missions, Landsat data are a favourable choice for this study. This research delves into the temporal evolution of land use/land cover (LULC), normalized difference vegetation index (NDVI), land surface temperature (LST) and fractional impervious surface area (FISA) over a span of two decades (2004, 2014, 2024), utilizing data procured from Landsat satellites. The LULC analysis unveiled a pronounced augmentation in built-up regions, concomitant with a reduction in barren lands and vegetative areas. The correlation analysis amongst NDVI, LST and FISA elucidated the ramifications of urbanization on environmental parameters. This study emphasizes the imperative for urban planning strategies to ameliorate the deleterious effects, particularly in the light of escalating surface temperatures and diminishing vegetative cover.