1% house edge is the most common nowadays. But there are also a handful of dice sites which offer lower. Crypto-games, as you have mentioned is one. They have 0.5% house edge. I don't have a problem with the site. They even have a clean account here, as compared to other gambling sites that have red tags. Just like crypto-games, safedice is also offering 0.5% house edge. Megadice is also offering lower than 1% house edge. They have 0.9%. And if you are regularly following Bitsler's offers, you might chance upon a 0% house edge offer for a limited period of time.
Afaik Cryptogames has 0.8% House edge. I won't recommend to gamble on safedice although they offered you 0.5% house edge (kinda low from other gambling sites) since they still have problem with their site (admin goes offline since a year ago, their main account also hasn't active on here anymore).