Another vote for Aden & anais or Gerber cloth diapers. All these people have made me burp cloths which was very sweet but nothing beats plain cloth diapers in my opinion!
I make my own burp cloths and sell on my etsy shop. They are super thick and absorbent. I use either a layer of knit or cozy flannel, with a layer of cotton batting in the middle and a minky on the back. They hold up so incredibly well, not to brag. But they honestly do.
Here's a link to my shop if you're interested - www.etsy.com/shop/stitchesbynicole
Re: Favorite Burp Cloths
Sewingdreamsnotions's shop on #etsy https://www.etsy.com/shop/Sewingdreamsnotions