Bhasa
Overview
Bhāsa is one of the earliest and most celebrated Indian playwrights
Theatre in India
The earliest form of the theatre of India was the Sanskrit theatre. It began after the development of Greek and Roman theatre and before the development of theatre in other parts of Asia...

 in Sanskrit. However, very little is known about him.

Kālidāsa
Kalidasa
Kālidāsa was a renowned Classical Sanskrit writer, widely regarded as the greatest poet and dramatist in the Sanskrit language...

 in the introduction to his first play Malavikagnimitram writes -
Shall we neglect the works of such illustrious authors as Bhāsa, Saumilla, and Kaviputra? Can the audience feel any respect for the work of a modern poet, a Kālidāsa?

So we know he lived before Kālidāsa.
 
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