Smart contact lenses (SCLs) bring transformative developments in ophthalmology beyond vision correction. For advanced diagnostic and therapeutic purposes, SCLs integrate biosensing, drug delivery, artificial intelligence (AI), and augmented reality (AR) technologies. Despite rapid progress in this technology, no prior study has systematically mapped the recent progress and trends using thematic approaches. This review integrates the bibliometric indicators with thematic analysis to highlight the publication trends, collaboration networks, and emerging applications in this field. We identified key research themes related to SCL, including diabetes monitoring and management, intraocular pressure monitoring, drug delivery, AI-driven diagnosis, and AR-enabled human-machine interaction. The current challenges, i.e., encrypted wireless communication, compact but efficient power solutions, clinical validation, and data interpretation, are also discussed. Moreover, this study also provides insights into potential future directions to mitigate these challenges.