Indian fella here, born and raised in Canada though, my experience may vary from someones in the US but the US and Canada, in my experience, have a lot more in common then either will like to admit.
I am very assimilated in to Canadian culture, no accent or anything, very little of East Indian culture is a part of my life.
I am maybe above average in looks(tall, clear skin, broad shoulders, half decent shape, I don't dress too sloppily and I keep myself clean and tidy), 21 year old male engineer.
My parents growing up were pretty against me having a girlfriend or dating but once I completed high school they pretty much pulled a 180 and were constantly asking me about if there was a girl in my life, all of which is very annoying and I don't think it's exclusive to brown parents.
I grew up in a very very white town/high school/general environment and had no more issues dating or hooking up with girls then most of my peers on average, maybe above average but not by much.
I moved out of this town into a much larger city for university, this town has much more diversity, lots of asians, indians and many other ethnicities. I found young brown men in this city had a reputation of being enormous douches and that it made it difficult to meet girls that are complete strangers although meeting girls through clubs, teams, friends of friends, where they got to know me past their first impression of me was no worse then high school(maybe even better since I was interacting with so many more people).
I did notice that east indian girls would be more interested in me over other girls and that asian and black girls would be the opposite, something other brown males would often agree about. White girls tended to be generally more open minded and white girls are totally my type so I tended to pursue them more.
Overall I do not feel like my ethnicity has made a noticable difference in my dating life but I credit that to the extent that I have assimilated in to Canadian culture. I have friends who have not assimilated to my extend(dress in traditional clothes sometimes, wear traditional jewelry, volunteer/participate in cultural events, listen to east indian music, etc) and it seems that for the most part east indian girls tend to go for them.
Just my experience though, I'm unsure how everyone elses experiences compare.