Currently, synthetic and semi-synthetic polymers are widely used in the development of various drug delivery systems (DDSs), biomedical and surgical devices, and healthcare materials. However, many drawbacks and problems are associated with these polymeric materials, including toxicity, immunogenicity, non-biodegradability, non-biocompatibility, and complicated, costly synthesis. To address such drawbacks, nowadays, naturally occurring swellable polysaccharides (NOSPs) are being evaluated for the possible replacement of synthetic polymers. NOSPs have shown remarkable stimuli-responsive properties, which made them an ideal material to develop stimuli-responsive DDSs, especially “smart tablets”. The present review focuses on the summarization of stimuli-responsive properties (swelling, on-off switching, and drug release) of smart/stimuli-responsive tablets that respond to various stimuli, e.g., pH, solvent, transit, time, etc. This article highlights the need to develop NOSPs-based smart tablets for intelligent and targeted drug delivery.