Here are 8 calendars and date pickers using Javascript that enables the users to select date fields in the web forms from the pop up window. But if you prefer to use jQuery plugin, i posted about jQuery Date Picker, Event & Calendar Plugins months ago.
Rome
Rome depends on momentjs. It doesn’t depend on jQuery or other frameworks, though.
Kalendae
Kalendae is an attempt to do something that nobody has yet been able to do: make a date picker that doesn’t suck.
Pikaday
A refreshing JavaScript Datepicker — lightweight, no dependencies, modular CSS.
React Date Picker
Date picker for ReactJS.
PickMeUp
Really simple, powerful and customizable datepicker.
JSCalendar
JSCalendar is a Javascript class that adds accessible and unobtrusive date-pickers to your form elements. By using it, you can set up the coolest calendar in the shortest amount of time.
RegalCalendar
Regal Calendar is a component that allows you make known your events every day, let your visitors see when your event starts, the location via google maps and confirm their attendace via Twitter.
rrule.js
JavaScript library for working with recurrence rules for calendar dates.