Webinane

The easy to use free WordPress appointments plugin WP Appointments is packed with lots of innovative features that are rarest to be seen elsewhere. For example, both the front end and back end layouts are based totally on AJAX to give a seamless streamlined user experience. The ease of use goes beyond bounds. It can be used for a great variety of websites, such as doctors, spas, saloons, mechanic, personal trainers, lawyers, cleaning services, and so on. The outlook is high interactive and user friendly.
Features:
<iframe loading="lazy" class="youtube-player" width="750" height="422" src="https://www.youtube.com/embed/u_smM0ObkDU?version=3&rel=1&showsearch=0&showinfo=1&iv_load_policy=1&fs=1&hl=en-US&autohide=2&wmode=transparent" allowfullscreen="true" style="border:0;" sandbox="allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox"></iframe>
<ul>
<li>Totally AJAX-based Frontend & Backend</li>
<li>Interactive design with inspiring graphics</li>
<li>Multipurpose utility </li>
<li>Easy & quick installation</li>
<li>Auto Template Generator included </li>
<li>Email Template Builder </li>
<li>Managements of multiple locations or branches </li>
<li>Management of multiple services</li>
<li>Management of multiple workers</li>
<li>Extremely flexible timetable with time slots management </li>
<li>Fully device optimize layout</li>
<li>Translation support</li>
</ul>
Pro Version:
Pro Version of Wp Appointments is up for sale on CodeCanyon with countless extra features. Pro Version is covering 8 niches and more are on their way. In the pro version you can manage appointments, bookings, locations, services, team members, timetable, payment gateways and users. 
<a href="http://codecanyon.net/item/wpappointments-paid-appointments-system-wp-plugin/14480806" rel="nofollow ugc">Upgrade to Pro Version</a>

Wp Appointments

With totally AJAX based front & back ends, WP Appointments is a fully managed and flexible tool for building powerful appointments systems.

oplugins

wpdevelop

Booking Manager plugin can easily show list of events in customizable way from external .ics feeds at your website. 
Booking Manager have native integration with <a href="https://wordpress.org/plugins/booking/" rel="ugc">Booking Calendar</a> plugin. 
It can sync bookings from Booking Calendar with different sources (Airbnb, Booking.com, HomeAway, TripAdvisor, VRBO, FlipKey and any other calendar that uses .ics format).
<blockquote>
<a href="https://oplugins.com/plugins/booking-manager/" title="Booking Manager Homepage" rel="nofollow ugc">Plugin Homepage</a> | <a href="https://oplugins.com/plugins/booking-manager/#faq" title="Support" rel="nofollow ugc">Support</a>
</blockquote>
<h4>Booking Manager IS GREAT FOR</h4>
<ul>
<li>Listing of upcoming events at your website from .ics feeds</li>
<li>Sync bookings from different sources with <a href="https://wordpress.org/plugins/booking/" rel="ugc">Booking Calendar</a> plugin</li>
</ul>
<h4>FEATURES</h4>
<ul>
<li>List of events from external .ics feeds.</li>
<li>Ability to upload .ics file(s) to your website and use it.</li>
<li>Customization of events listing template – it’s how events showing at front-end side of your website.</li>
<li>Easily inserting shortcode for events listing into any post or page via popup dialog, where you can select different parameters.</li>
<li>Setting different parameters for events listing, like “start from” and “finish to” dates, etc…</li>
<li>Native integration with Booking Calendar plugin.</li>
<li>Sync bookings from Booking Calendar with different sources (Airbnb, Booking.com, HomeAway, TripAdvisor, VRBO, FlipKey and any other calendar that uses .ics format).</li>
<li>Import .ics feeds (files) into Booking Calendar. Its useful, if you need to import bookings from multiple external websites into one calendar in Booking Calendar plugin.</li>
<li>Export .ics feeds (files) from Booking Calendar. You can publish bookings from Booking Calendar as .ics feeds at different pages, and then import such bookings in your other different website, like Airbnb.</li>
<li>Configure URLs for pages where you want to publish your ics feeds.</li>
<li>Mobile friendly.</li>
</ul>

Booking Manager – Sync WP Booking Calendar – Import Events, Export Bookings to ICS Calendar

Showing events listing from .ics feeds or sync bookings from different sources to your website

Wp Appointments vs Booking Manager – Sync WP Booking Calendar – Import Events, Export Bookings to ICS Calendar