CozyCal has done a really good job of competing with Calendly in the simple appointment scheduling space. Their signup process and interface is heavily inspired by Calendly but has some nice takes on certain UI and UX aspects. Having said that, there really does not appear to be an active team working on features, iterations and product development. The product does not appear to have evolved much since inception in 2016.
There are no seeming benefits from going with CozyCal over Calendly, particularly as it is more expensive and less feature rich. And CozyCal, when compared to Cogsworth has minimal scheduling functionality.
If you are after a simple scheduling software and do not want to support Calendly, then CozyCal might be a good option. However, if you have more sophisticated scheduling requirements and legal obligations such as GDPR and HIPAA compliance, as well as advanced team bookings, Chrome Extensions, Apple calendar integration and more, you cannot beat Cogsworth!
Gather information about your customers as they are booking with you. Ask the important questions and manage expectations.
Create custom email and SMS notifications and reminders to reduce no-shows.
Add as many staff and resources to your business as you want then set their working hours, breaks and shifts.
Two way sync between your Google or Outlook calendars. This means you can never be double booked when you are busy. And all of your appointments get automatically added to your calendar or that of your staff.