1. Tamil: Declared a classical language in 2004.
2. Sanskrit: Declared a classical language in 2005. This is a bit tricky, as Sanskrit has been considered a classical language for centuries, but the official declaration came in 2005.
3. Telugu: Declared a classical language in 2008.
4. Kannada: Declared a classical language in 2008.
Therefore, the order is Tamil, Sanskrit, Telugu, and Kannada.