There are numerous websites that don't ask for KYC but make sure to check out their background first before deciding to bet. Some of the online betting sites that I know that doesn't require any verification are Rolleto and Sportsbetting sportsbook. You can check on the Internet about the additional information to the aforementioned sportsbook to see it for yourself if you can trust them.
I suggest, aside from finding a "No KYC" website, you should also look for a reputable and trusted sportsbook that could guarantee you assurance of your money. Most especially when you are going to withdraw your prizes, it's much better to be in a site that has been known to take good care of their players and not just only after the profits. You see, betting sites are requiring KYC for a reason and one of the reasons would be to protect both parties and to make sure that there is no law that is being violated, since some uses the platform to do illegal activities. However, if you are uncomfortable with that, you can always opt to find another one that don't require such. Just thoroughly do a history check and gather all the reviews about them.
Be wary and updated also about their terms and conditions because mostly it changes without prior notice. So check it from time to time because it is possible that they won't ask for verification for now, but soon after they will.