Krish, Cofounder of Chargebee here. A lot of our customers use Stripe + Chargebee combination as we complement them by leveraging the best features of Stripe. We like the way Stripe.Js, radar and auto card updater etc is beautifully built. (ex: you can pass Stripe token to create a subscription in Chargebee). We continue to build in a way that we let you use those features while providing a full fledged billing system that integrates all the way from CRM, helpdesk /intercom to accounting. Your finance or sales can collect non card, PayPal payments without any changes to the code. Enabling those business users post implementation with support is our core value prop, so that developers don't have to worry about giving internal solutions afterwards.
Give it a spin and for the idea launch stage we have a freemium tier for first $50k usd. If you have any feedback please write to me at Krish at Chargebee.