Cal.com is a fantastic open-source alternative to Calendly. Its flexibility to self-host or use a hosted solution, along with advanced customization and an open API, made integration into my business seamless.
It's pretty easy to setup and offers a ton of nice features. I embed it on my website and have link to my profile in my email footer. Works very well, can't wait to use it even more in the upcoming months.
Had an issue logging in and Peer (CEO) tended to the matter within the hour. I haven't had such responsive customer service so this was quite the experience. It's refreshing to find a customer-centric open source project do so well.