tawk.to - tawk.to is a free live chat app that lets you monitor and chat with visitors on your website or from a free customizable page
Intercom - Intercom is a customer relationship management and messaging tool for web businesses. Build relationships with users to create loyal customers.
Crisp Chat - Multi-channel customer support software
Chatrify - Chatrify provides businesses with a simple interface, user-friendly process, easy set-up options & great stuff at very competitive pricing.
Chatlio - When you have a business to run, your average instant messaging software just will not do. You need an internal presence upon which your entire team can collaborate on. Read more about Chatlio.
Olark - Real-time chat and monitoring of your website visitors through Google Talk and Jabber.