I am looking to create a calendar similar to the one attached

I want to create this. It allows the user to choose a date and time for their performance at an open mic. Then, it shows the names of those who already signed up and it shows which slots are available.

We do not integrate with SignUpGenius, but I'm currently checking their system to see if we can do a workaround. I'll keep you posted. 

So, I've created a form with them and based on the result, I think we can do the same except for the part where the names of the people who booked the slot are shown. 

Here's my test form with them: https://www.signupgenius.com/go/8050c4daeaf2da7fb6-internal.

Here's a Jotform version: https://form.jotform.com/90834287019967. The form can still be customized to have a theme. 

You can also integrate a payment in the form if you want.

Guide https://www.jotform.com/help/426-How-to-Setup-a-Payment-Order-Form-with-Limited-Stocks. 

I hope that helps. Please let us know if you need further assistance.