It is not really realistic to think that getting listed on Binance is easy. There are thousands of projects and they all want to be listed on Binance as they are the biggest exchange, but only 5% will ever get listed (and you can always get delisted also if the volume is too low). I also only know one gambling token that is listed and that is FUN token, but this token was already listed before freebitco.in took it over.
Listing on Binance is not easy but is not too difficult.
If your project is not scam and has good trading volume, has big communities, has real use cases, Binance will put their eyes on you. They listed Sushi, Shiba Inu for such reasons. $OWL token from Owl DAO and Owl games can be listed on Binance in future. Don't give up your hope for it.
FUN tokens of freebitco.in is the only crypto gambling token that I know listed on Binance but the token is listed on Binance during the ownership is still not been transferred to Freebitco.in.
It seems that $FUN token was listed on other exchanges (DEX and CEX) before they got accepted for listing on Binance.
I think Owl and Betfury is the next in line of crypto casino token that has a possibility to list on Binance in the future due to its strong fundamental and community using it.
I am not sure about Betfurry but $OWL token is good enough to be considered by Binance. However, trading volume should be bigger and touch to millions of dollar for consideration from Binance.