any place that you want to pay for something with fiat is going to be "invasive" and when they are in countries like US the rules you have to follow become more!
with that said try coinbase or many of the exchanges out there like bitfinex, bitstamp, kraken, cex.io, or even btc-e which has many methods of payment some of them don't even need any documents.
Circle allows debit card buying, is that what you mean? That is what I use but I remember people being cranky with them a while ago, not sure why.
circle no longer offers these services. they couldn't handle it so they closed down that part of their site.