Indiainfoline.com IPO seems to be going sort of un-noticed. In the sense that there's not much buzz surrounding the IPO (Full IPO prospectus can be downloaded from SEBI site). What a far cry from heady days of dot-com boom.
The first Indian dot-com to go public was Sify. Sify is India's pioneer & leader in Internet, Networking and e-Commerce services, and the first Indian Internet company to be listed on the Nasdaq National Market in the US. On October 19, 2004, Sify completed five years on the Nasdaq when the CEO and MD Mr.R.Ramaraj opened the Nasdaq Stock Market. I think Sify went public just after it bought Rajesh Jain's Infoworld (for Rs 500 Crores). The section headers Khel, Bawarchi, etc that you see on Sify today were acquired from IndiaWorld.
Another frontrunner Indian dotcom to go public was Rediff must have been the first one to list. Rediff commenced trading on the Nasdaq, June 14, 2000.
I dunno of any other dotcoms that have gone public in India. (maybe Sharekhan and 5paisa?)